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The lattice of semigroup varieties

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/mana.19710480118openalex-snapshot
All Varieties of Bands I
inferredcites →https://doi.org/10.1007/978-3-0348-7633-9_5openalex-snapshot
Equational Classes of Lattices
inferredcites →https://doi.org/10.1007/978-3-642-88599-0openalex-snapshot
Varieties of Groups
inferredcites →https://doi.org/10.1007/bf01110245openalex-snapshot
Schreier varieties of semigroups
inferredcites →https://doi.org/10.1007/bf01115359openalex-snapshot
Schreier varieties of groups
inferredcites →https://doi.org/10.1007/bf01473869openalex-snapshot
On varieties of groups and their associated near-rings
inferredcites →https://doi.org/10.1007/bf01594191openalex-snapshot
Identical relations in groups. I
inferredcites →https://doi.org/10.1007/bf02302476openalex-snapshot
Multiplication of classes of algebraic systems
inferredcites →https://doi.org/10.1007/bf03017497openalex-snapshot
Nieuw Archief voor Wiskunde
inferredcites →https://doi.org/10.1016/0021-8693(64)90004-3openalex-snapshot
Identical relations in finite groups
inferredcites →https://doi.org/10.1016/0021-8693(66)90001-9openalex-snapshot
Attainability of systems of identities on semigroups
inferredcites →https://doi.org/10.1016/0021-8693(69)90058-1openalex-snapshot
Bases for equational theories of semigroups
inferredcites →https://doi.org/10.1016/0021-8693(70)90073-6openalex-snapshot
The lattice of equational classes of idempotent semigroups
inferredcites →https://doi.org/10.1016/s1385-7258(55)50089-8openalex-snapshot
Equational completeness of abstract algebras
inferredcites →https://doi.org/10.1016/s1385-7258(55)50090-4openalex-snapshot
The number of equationally complete classes of equations
inferredcites →https://doi.org/10.1016/s1385-7258(56)50007-8openalex-snapshot
Equationally Complete Rings and Relation Algebras
inferredcites →https://doi.org/10.1017/s0305004100013463openalex-snapshot
On the Structure of Abstract Algebras
inferredcites →https://doi.org/10.1017/s0305004100027341openalex-snapshot
On semi-groups in which x r = x
inferredcites →https://doi.org/10.1017/s1446788700009745openalex-snapshot
Identical relations in loops, I
inferredcites →https://doi.org/10.1090/s0002-9904-1962-10745-9openalex-snapshot
Some two-generator one-relator non-Hopfian groups
inferredcites →https://doi.org/10.1090/s0002-9904-1967-11795-6openalex-snapshot
Varieties of groups
inferredcites →https://doi.org/10.1090/s0002-9939-1952-0049889-9openalex-snapshot
Two Notes on Nilpotent Groups
inferredcites →https://doi.org/10.1090/s0002-9939-1957-0090567-2openalex-snapshot
On the Identities of Certain Algebras
inferredcites →https://doi.org/10.1090/s0002-9939-1965-0174649-7openalex-snapshot
A Note on Models of Identities
inferredcites →https://doi.org/10.1090/s0002-9939-1969-0233912-5openalex-snapshot
A Note on Commutative Semigroups
inferredcites →https://doi.org/10.1090/s0002-9939-1969-0237673-5openalex-snapshot
A Certain Class of Identities on Semigroups
inferredcites →https://doi.org/10.1090/s0002-9939-1969-0244419-3openalex-snapshot
Commutative Semigroup Laws
inferredcites →https://doi.org/10.1090/s0002-9939-1971-0285639-0openalex-snapshot
Embedding the dual of 𝜋ₘ in the lattice of equational classes of commutative semigroups
inferredcites →https://doi.org/10.1090/s0002-9947-1951-0044470-3openalex-snapshot
Identities in Two-Valued Calculi
inferredcites →https://doi.org/10.1090/s0002-9947-1954-0064049-xopenalex-snapshot
On Burnside's Problem
inferredcites →https://doi.org/10.1090/s0002-9947-1972-0313141-1openalex-snapshot
Equational Bases and Nonmodular Lattice Varieties
inferredcites →https://doi.org/10.1090/surv/007.2/01openalex-snapshot
Minimal ideals and minimal conditions
inferredcites →https://doi.org/10.1093/qmath/17.1.11openalex-snapshot
A CLOSED SET OF LAWS WHICH IS NOT GENERATED BY A FINITE SET OF LAWS
inferredcites →https://doi.org/10.1093/qmath/19.1.335openalex-snapshot
THE NUMBER OF SEMIGROUP VARIETIES
inferredcites →https://doi.org/10.1112/blms/2.3.280openalex-snapshot
Uncountably many Varieties of Groups
inferredcites →https://doi.org/10.1112/jlms/s1-28.3.342openalex-snapshot
On Varieties of Groupoids and Loops
inferredcites →https://doi.org/10.1112/jlms/s1-35.2.184openalex-snapshot
Embedding Theorems for Semigroups
inferredcites →https://doi.org/10.1112/jlms/s1-38.1.71openalex-snapshot
Identical Relations in Groups
inferredcites →https://doi.org/10.1112/jlms/s1-44.1.551openalex-snapshot
Finitely Presented Loops, Lattices, etc. are Hopfian
inferredcites →https://doi.org/10.1112/jlms/s2-1.1.399openalex-snapshot
Some Connections between Residual Finiteness, Finite Embeddability and the Word Problem
inferredcites →https://doi.org/10.1215/s0012-7094-66-03371-0openalex-snapshot
Equational classes of lattices
inferredcites →https://doi.org/10.2140/pjm.1958.8.257openalex-snapshot
The structure of idempotent semigroups. I
inferredcites →https://doi.org/10.2140/pjm.1966.17.529openalex-snapshot
Homomorphisms and subdirect decompositions of semi-groups
inferredcites →https://doi.org/10.2140/pjm.1969.28.9openalex-snapshot
Equational classes of modular lattices
inferredcites →https://doi.org/10.2307/2037012openalex-snapshot
A Remark on Varieties of Lattices and Semigroups
inferredcites →https://doi.org/10.2307/2307797openalex-snapshot
Idempotent Semigroups
inferredcites →https://doi.org/10.2307/2314649openalex-snapshot
A Condition for a Cancellation Semigroup to be a Group
inferredcites →https://doi.org/10.2307/2317361openalex-snapshot
Introduction to the Theory of Abstract Algebras.
inferredcites →https://doi.org/10.2307/2967894openalex-snapshot
Note on the Calculation of Interest and Discount
inferredcites →https://doi.org/10.4064/cm-20-2-159-179openalex-snapshot
Primitive classes of algebras with unary and nullary operations
inferredcites →https://doi.org/10.7146/math.scand.a-10627openalex-snapshot
On Two Properties of Free Algebras.
inferredcites →https://doi.org/10.7146/math.scand.a-10850openalex-snapshot
Algebras Whose Congruence Lattices are Distributive.
inferredcites →https://doi.org/10.7146/math.scand.a-10882openalex-snapshot
Equational Classes of Lattices.

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/1-4020-3817-8_12openalex-snapshot
Epigroups
inferred← citeshttps://doi.org/10.1007/3-540-60084-1_95openalex-snapshot
Compactness of systems of equations in semigroups
inferred← citeshttps://doi.org/10.1007/978-1-4613-2215-3_5openalex-snapshot
Piecewise-testable Languages and Star-free Languages
inferred← citeshttps://doi.org/10.1007/978-3-031-16497-2_1openalex-snapshot
Historical Overview and Main Results
inferred← citeshttps://doi.org/10.1007/978-3-319-78235-5_1openalex-snapshot
Introduction and Background
inferred← citeshttps://doi.org/10.1007/978-94-015-1233-6_4openalex-snapshot
V
inferred← citeshttps://doi.org/10.1007/bf00967165openalex-snapshot
Varieties and sheaves of semigroups
inferred← citeshttps://doi.org/10.1007/bf00967390openalex-snapshot
Atoms in the lattice of identical-inclusion varieties of semigroups
inferred← citeshttps://doi.org/10.1007/bf00968987openalex-snapshot
Varieties with a countable number of subquasivarieties
inferred← citeshttps://doi.org/10.1007/bf01152376openalex-snapshot
Almost-linear varieties of semigroups
inferred← citeshttps://doi.org/10.1007/bf01188181openalex-snapshot
Efficient solution of the word problem in slim varieties
inferred← citeshttps://doi.org/10.1007/bf01190763openalex-snapshot
On finite hyperidentity bases for varieties of semigroups
inferred← citeshttps://doi.org/10.1007/bf01190855openalex-snapshot
Hyperidentities for some varieties of commutative semigroups
inferred← citeshttps://doi.org/10.1007/bf01192706openalex-snapshot
Iterative hyperidentities for theA n,m varieties of semigroups
inferred← citeshttps://doi.org/10.1007/bf01196097openalex-snapshot
On semigroups having n2 essentially n-ary polynomials
inferred← citeshttps://doi.org/10.1007/bf01230618openalex-snapshot
On regular and regularised varieties
inferred← citeshttps://doi.org/10.1007/bf01668999openalex-snapshot
Filters in lattices of quasivarieties of algebraic systems
inferred← citeshttps://doi.org/10.1007/bf02102402openalex-snapshot
Covering elements in the lattice op varieties of algebras
inferred← citeshttps://doi.org/10.1007/bf02194771openalex-snapshot
Precomplete varieties of semigroups
inferred← citeshttps://doi.org/10.1007/bf02194867openalex-snapshot
A characterization of varieties of inverse semigroups
inferred← citeshttps://doi.org/10.1007/bf02315970openalex-snapshot
All subvarieties of a certain variety of semigroups
inferred← citeshttps://doi.org/10.1007/bf02483713openalex-snapshot
Covering in the lattice of equational theories and some properties of term finite theories
inferred← citeshttps://doi.org/10.1007/bf02483841openalex-snapshot
Structural diversity in the lattice of equational theories
inferred← citeshttps://doi.org/10.1007/bf02485250openalex-snapshot
Lattice-theoretic decision problems in universal algebra
inferred← citeshttps://doi.org/10.1007/bf02485828openalex-snapshot
Para primal algebras
inferred← citeshttps://doi.org/10.1007/bf02485829openalex-snapshot
Base-undecibable properties of universal varieties
inferred← citeshttps://doi.org/10.1007/bf02485837openalex-snapshot
Lattice conditions implying congruence modularity
inferred← citeshttps://doi.org/10.1007/bf02570783openalex-snapshot
When is a functionally free algebra free? A remark on a problem of B. M. Schein
inferred← citeshttps://doi.org/10.1007/bf02572638openalex-snapshot
Residual finiteness in permutation varieties of semigroups
inferred← citeshttps://doi.org/10.1007/bf02572694openalex-snapshot
The Hopf property and $$\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{K} $$-free products of semigroups
inferred← citeshttps://doi.org/10.1007/bf02572772openalex-snapshot
Identities valid globally in semigroups
inferred← citeshttps://doi.org/10.1007/bf02573123openalex-snapshot
Some pseudovariety joins involving the pseudovariety of finite groups
inferred← citeshttps://doi.org/10.1007/bf02573130openalex-snapshot
Residual finiteness in completely regular semigroup varieties
inferred← citeshttps://doi.org/10.1007/bf02573138openalex-snapshot
Completely simple and completely O-simple semigroup identities
inferred← citeshttps://doi.org/10.1007/bf02573251openalex-snapshot
Dualities in lattices of semigroup varieties
inferred← citeshttps://doi.org/10.1007/bf02573430openalex-snapshot
On cross semigroup varieties and related questions
inferred← citeshttps://doi.org/10.1007/bf02573469openalex-snapshot
Hyperassociative varieties of semigroups
inferred← citeshttps://doi.org/10.1007/bf02573595openalex-snapshot
On the varieties of completely regular semigroups
inferred← citeshttps://doi.org/10.1007/bf02575010openalex-snapshot
Unification in varieties of idempotent semigroups
inferred← citeshttps://doi.org/10.1007/bf02676655openalex-snapshot
Semigroup varieties of inflations of unions of groups
inferred← citeshttps://doi.org/10.1007/bf02945109openalex-snapshot
The lattice of equational classes ofm-semigroups
inferred← citeshttps://doi.org/10.1007/bfb0063428openalex-snapshot
Free spectra of 3-element algebras
inferred← citeshttps://doi.org/10.1007/bfb0083429openalex-snapshot
Congruence semimodular varieties of semigroups
inferred← citeshttps://doi.org/10.1007/pl00000348openalex-snapshot
$ {\cal L} $-subvarieties of the variety of idempotent semirings
inferred← citeshttps://doi.org/10.1007/s00012-004-1871-3openalex-snapshot
Semilattices with closure
inferred← citeshttps://doi.org/10.1007/s00012-008-2108-7openalex-snapshot
Upper-modular elements of the lattice of semigroup varieties
inferred← citeshttps://doi.org/10.1007/s00012-009-2120-6openalex-snapshot
Lyndon’s groupoid generates a small almost Cross variety
inferred← citeshttps://doi.org/10.1007/s00012-011-0137-0openalex-snapshot
Joins and subdirect products of varieties
inferred← citeshttps://doi.org/10.1007/s00012-015-0359-7openalex-snapshot
Stable varieties of semigroups and groupoids
inferred← citeshttps://doi.org/10.1007/s00233-004-0115-3openalex-snapshot
Varieties and Nilpotent Extensions of Permutative Periodic Semigroups
inferred← citeshttps://doi.org/10.1007/s00233-012-9377-3openalex-snapshot
Proofs of definability of some varieties and sets of varieties of semigroups
inferred← citeshttps://doi.org/10.1007/s00233-012-9429-8openalex-snapshot
On definability in some lattices of semigroup varieties
inferred← citeshttps://doi.org/10.1007/s00233-012-9455-6openalex-snapshot
On finitely related semigroups
inferred← citeshttps://doi.org/10.1007/s00233-020-10111-8openalex-snapshot
Finite monogenic semigroups and saturated varieties of semigroups
inferred← citeshttps://doi.org/10.1007/s00233-021-10196-9openalex-snapshot
Two weaker variants of congruence permutability for monoid varieties
inferred← citeshttps://doi.org/10.1007/s002330010025openalex-snapshot
On the Lattice of Varieties of Involution Semigroups
inferred← citeshttps://doi.org/10.1007/s002330010032openalex-snapshot
An Invitation to C-semigroups
inferred← citeshttps://doi.org/10.1007/s002330010070openalex-snapshot
Bands with a small number of ternary term functions
inferred← citeshttps://doi.org/10.1007/s10114-009-7281-xopenalex-snapshot
The subvariety lattice of the join of two semigroup varieties
inferred← citeshttps://doi.org/10.1007/s10440-004-5634-0openalex-snapshot
Semigroup Varieties with 1.5-Permutable Fully Invariant Congruences on their Free Objects
inferred← citeshttps://doi.org/10.1007/s10474-023-01347-1openalex-snapshot
On left legal semigroups
inferred← citeshttps://doi.org/10.1007/s10958-009-9718-2openalex-snapshot
Upper-modular elements of the lattice of semigroup varieties. II
inferred← citeshttps://doi.org/10.1007/s10958-017-3236-4openalex-snapshot
On the Lattice of Subvarieties of the Wreath Product of the Variety of Semilattices and the Variety of Semigroups with Zero Multiplication
inferred← citeshttps://doi.org/10.1007/s10958-018-3961-3openalex-snapshot
Once More on the Lattice of Subvarieties of the Wreath Product of the Variety of Semilattices and the Variety of Semigroups with Zero Multiplication
inferred← citeshttps://doi.org/10.1007/s11537-022-2073-5openalex-snapshot
The lattice of varieties of monoids
inferred← citeshttps://doi.org/10.1016/0021-8693(82)90042-4openalex-snapshot
Bands with an involution
inferred← citeshttps://doi.org/10.1016/0021-8693(83)90017-0openalex-snapshot
Semigroup varieties with the amalgamation property
inferred← citeshttps://doi.org/10.1016/b978-0-12-319450-3.50008-6openalex-snapshot
UNIVERSAL ASPECTS OF COMPLETELY SIMPLE SEMIGROUPS
inferred← citeshttps://doi.org/10.1016/b978-0-444-87759-8.50027-4openalex-snapshot
ON VARIETIES OF SEMIGROUPS SATISFYING x3 ≃x
inferred← citeshttps://doi.org/10.1016/b978-0-7204-0725-9.50040-xopenalex-snapshot
EQUATIONAL LOGIC
inferred← citeshttps://doi.org/10.1016/j.jalgebra.2011.02.037openalex-snapshot
On the variety generated by all semigroups of order three
inferred← citeshttps://doi.org/10.1016/j.jalgebra.2023.06.030openalex-snapshot
A survey on varieties generated by small semigroups and a companion website
inferred← citeshttps://doi.org/10.1016/j.jpaa.2026.108219openalex-snapshot
Clones of pigmented words and realizations of special classes of monoids
inferred← citeshttps://doi.org/10.1016/s0021-8693(05)80045-6openalex-snapshot
Local varieties of completely regular monoids
inferred← citeshttps://doi.org/10.1017/s0004972708000294openalex-snapshot
On E-pseudovarieties of finite regular semigroups
inferred← citeshttps://doi.org/10.1017/s0013091500007112openalex-snapshot
On finite simple semigroups
inferred← citeshttps://doi.org/10.1017/s0308210500020138openalex-snapshot
Completely simple semigroups: free products, free semigroups and varieties
inferred← citeshttps://doi.org/10.1017/s1446788700017171openalex-snapshot
Commutative semigroup varieties with the amalgamation property
inferred← citeshttps://doi.org/10.1017/s1446788700022084openalex-snapshot
Small varieties of finite semigroups and extensions
inferred← citeshttps://doi.org/10.1023/a:1010379324510openalex-snapshot
All Varieties of Normal Bands with Involution
inferred← citeshttps://doi.org/10.1023/a:1012970725328openalex-snapshot
Special Elements of the Lattice of Overcommutative Varieties of Semigroups
inferred← citeshttps://doi.org/10.1023/b:allo.0000015127.50736.36openalex-snapshot
A Weaker Version of Congruence-Permutability for Semigroup Varieties
inferred← citeshttps://doi.org/10.1070/rm1976v031n01abeh001447openalex-snapshot
FULLY ORDERED SEMIGROUPS AND THEIR APPLICATIONS
inferred← citeshttps://doi.org/10.1080/00927870008826995openalex-snapshot
Remarks on varieties of involution bands
inferred← citeshttps://doi.org/10.1080/00927870701776896openalex-snapshot
On Using the Join Operation to Define Classes of Algebras
inferred← citeshttps://doi.org/10.1080/00927872.2019.1590585openalex-snapshot
Cancellable elements of the lattices of varieties of semigroups and epigroups
inferred← citeshttps://doi.org/10.1080/00927879508825550openalex-snapshot
On semigroup species
inferred← citeshttps://doi.org/10.1080/00927879808826163openalex-snapshot
Irreducibility of certain pseudovarieties1
inferred← citeshttps://doi.org/10.1088/1742-6596/1574/1/012066openalex-snapshot
Inverse Semi-group of Normal Sub-semigroup Based on Computer
inferred← citeshttps://doi.org/10.1090/s0002-9947-1974-0344176-2openalex-snapshot
Primitive Elements and One Relation Algebras
inferred← citeshttps://doi.org/10.1090/s0002-9947-1994-1211411-0openalex-snapshot
Varieties of Commutative Semigroups
inferred← citeshttps://doi.org/10.1090/s0002-9947-2012-05386-4openalex-snapshot
The structure and definability in the lattice of equational theories of strongly permutative semigroups
inferred← citeshttps://doi.org/10.1090/s0077-1554-07-00166-5openalex-snapshot
The wreath product of atoms of the lattice of semigroup varieties
inferred← citeshttps://doi.org/10.1090/tran/7091openalex-snapshot
Monoid varieties with extreme properties
inferred← citeshttps://doi.org/10.1112/jlms.12221openalex-snapshot
Generating subdirect products
inferred← citeshttps://doi.org/10.1142/s0218196707004189openalex-snapshot
MINIMAL SEMIGROUPS GENERATING VARIETIES WITH COMPLEX SUBVARIETY LATTICES
inferred← citeshttps://doi.org/10.1142/s0218196711006169openalex-snapshot
LIMIT VARIETIES GENERATED BY COMPLETELY 0-SIMPLE SEMIGROUPS
inferred← citeshttps://doi.org/10.1142/s0218196721400026openalex-snapshot
Semigroup quasivarieties: Two lattices and a reopened problem
inferred← citeshttps://doi.org/10.1142/s0219498820502059openalex-snapshot
Free rectangular doppelsemigroups
inferred← citeshttps://doi.org/10.1155/2008/362068openalex-snapshot
Green′s‐Like Relations on Algebras and Varieties
inferred← citeshttps://doi.org/10.12958/adm2173openalex-snapshot
Structure of relatively free n-tuple semigroups
inferred← citeshttps://doi.org/10.1515/dema-1994-3-418openalex-snapshot
PRE-SOLID VARIETIES
inferred← citeshttps://doi.org/10.2140/pjm.1973.49.51openalex-snapshot
Congruence lattices of semilattices
inferred← citeshttps://doi.org/10.2140/pjm.1975.58.209openalex-snapshot
Varieties of orthodox bands of groups
inferred← citeshttps://doi.org/10.22405/2226-8383-2019-20-3-261-271openalex-snapshot
Свободные прямоугольные n-кратные полугруппы
inferred← citeshttps://doi.org/10.2307/2275184openalex-snapshot
Undecidability of the identity problem for finite semigroups
inferred← citeshttps://doi.org/10.30574/wjarr.2022.16.1.1194openalex-snapshot
On structure analysis of finitely generated abelian groups
inferred← citeshttps://doi.org/10.3103/s1066369x09030013openalex-snapshot
Lattices of semigroup varieties
inferred← citeshttps://doi.org/10.4153/cjm-1977-118-7openalex-snapshot
Certain Varieties and Quasivarieties of Completely Regular Semigroups
inferred← citeshttps://doi.org/10.4213/mzm779openalex-snapshot
Специальные элементы решетки надкоммутативных многообразий полугрупп
inferred← citeshttps://doi.org/10.48550/arxiv.0812.1979openalex-snapshot
Essential Variables and Separable Sets in Universal Algebra
inferred← citeshttps://doi.org/10.48550/arxiv.1011.1557openalex-snapshot
Definability of the variety generated by a commutative monoid in the lattice of commutative semigroup varieties
inferred← citeshttps://doi.org/10.48550/arxiv.1411.4860openalex-snapshot
A Lattice of Inclusion Classes consisting of Unions of Varieties of Generalised Inflations of Rectangular Bands
inferred← citeshttps://doi.org/10.7151/dmgaa.1354openalex-snapshot
Join irreducible 2-testable semigroups
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