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Ideal theory in commutative semigroups

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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.19710480108openalex-snapshot
Commutative Semigroups in which Primary Ideals are Prime
inferredcites →https://doi.org/10.1007/978-1-4899-3558-8_32openalex-snapshot
Residuated Lattices
inferredcites →https://doi.org/10.1007/978-1-4899-3558-8_33openalex-snapshot
Non-Commutative Residuated Lattices
inferredcites →https://doi.org/10.1007/978-1-4899-3558-8_35openalex-snapshot
Abstract Commutative Ideal Theory
inferredcites →https://doi.org/10.1007/bf01181123openalex-snapshot
Teilbarkeitstheorie in Bereichen
inferredcites →https://doi.org/10.1007/bf01191494openalex-snapshot
Join-principally generated multiplicative lattices
inferredcites →https://doi.org/10.1007/bf01191761openalex-snapshot
Structure and embedding theorems for small strong-?-lattices
inferredcites →https://doi.org/10.1007/bf01580299openalex-snapshot
Abstrakte Begründung der multiplikativen Idealtheorie
inferredcites →https://doi.org/10.1007/bf01894778openalex-snapshot
Relationship between Noether lattices andx-systems
inferredcites →https://doi.org/10.1007/bf01894780openalex-snapshot
Quasi-noetherianx-systems
inferredcites →https://doi.org/10.1007/bf01897093openalex-snapshot
The para-cancellation law in commutative semigroups
inferredcites →https://doi.org/10.1007/bf02194830openalex-snapshot
Monoids of dedekind type
inferredcites →https://doi.org/10.1007/bf02194860openalex-snapshot
Prüfer and dedekind monoids
inferredcites →https://doi.org/10.1007/bf02195259openalex-snapshot
Prüfer and Dedekind monoids II
inferredcites →https://doi.org/10.1007/bf02195273openalex-snapshot
Multiplication semigroups
inferredcites →https://doi.org/10.1007/bf02195918openalex-snapshot
Multiplication semigroups II
inferredcites →https://doi.org/10.1007/bf02195919openalex-snapshot
Multiplication semigroups III
inferredcites →https://doi.org/10.1007/bf02230707openalex-snapshot
Über halbgeordnete Gruppen
inferredcites →https://doi.org/10.1007/bf02485825openalex-snapshot
Abstract commutative ideal theory without chain condition
inferredcites →https://doi.org/10.1007/bf02485844openalex-snapshot
Weak join-principal element lattices
inferredcites →https://doi.org/10.1007/bf02545781openalex-snapshot
Theory of x-ideals
inferredcites →https://doi.org/10.1007/bf02570802openalex-snapshot
Hereditary and semi-hereditary monoids
inferredcites →https://doi.org/10.1007/bf02572761openalex-snapshot
On dedekind monoids
inferredcites →https://doi.org/10.1016/0021-8693(77)90233-2openalex-snapshot
Fake rings, fake modules, and duality
inferredcites →https://doi.org/10.1016/0021-8693(79)90125-xopenalex-snapshot
Unique factorization and small regular local noether lattices
inferredcites →https://doi.org/10.1017/cbo9780511565908openalex-snapshot
Ideal Theory
inferredcites →https://doi.org/10.1017/s0305004100031091openalex-snapshot
Two classical theorems of ideal theory
inferredcites →https://doi.org/10.1090/s0002-9939-1963-0153693-8openalex-snapshot
Rings in Which the Unique Primary Decomposition Theorem Holds
inferredcites →https://doi.org/10.1090/s0002-9939-1971-0279080-4openalex-snapshot
Principal Elements of Lattices of Ideals
inferredcites →https://doi.org/10.1090/s0002-9947-1969-0237387-6openalex-snapshot
𝐴-transforms and Hilbert functions in local lattices
inferredcites →https://doi.org/10.1112/blms/6.2.234openalex-snapshot
MULTIPLICATIVE IDEAL THEORY
inferredcites →https://doi.org/10.1215/s0012-7094-40-00649-4openalex-snapshot
Residuated distributive lattices
inferredcites →https://doi.org/10.1307/mmj/1028999970openalex-snapshot
Structure theorems for regular local Noether lattices.
inferredcites →https://doi.org/10.1307/mmj/1029000264openalex-snapshot
Distributive local Noether lattices.
inferredcites →https://doi.org/10.1307/mmj/1029001468openalex-snapshot
Distributive Noether lattices.
inferredcites →https://doi.org/10.1307/mmj/1029001671openalex-snapshot
Arithmetically embeddable local Noether lattices.
inferredcites →https://doi.org/10.1515/crll.1932.168.1openalex-snapshot
Untersuchungen über Teilbarkeitseigenschaften in Körpern.
inferredcites →https://doi.org/10.21136/cmj.1971.101062openalex-snapshot
A class of commutative semigroups in which the idempotents are linearly ordered
inferredcites →https://doi.org/10.21136/cmj.1972.101121openalex-snapshot
Commutative primary semigroups
inferredcites →https://doi.org/10.21136/cmj.1977.101446openalex-snapshot
On commutative semigroups which are unions of a finite number of principal ideals
inferredcites →https://doi.org/10.21136/cmj.1978.101524openalex-snapshot
Structure and ideal theory of commutative semigroups
inferredcites →https://doi.org/10.2140/pjm.1962.12.481openalex-snapshot
Abstract commutative ideal theory
inferredcites →https://doi.org/10.2140/pjm.1976.66.15openalex-snapshot
The Krull intersection theorem. II
inferredcites →https://doi.org/10.2307/1968637openalex-snapshot
Arithmetic and Ideal Theory of Commutative Semigroups
inferredcites →https://doi.org/10.2307/1968944openalex-snapshot
The Lattice Theory of Ova
inferredcites →https://doi.org/10.2307/2316241openalex-snapshot
Introduction to Commutative Algebra.
inferredcites →https://doi.org/10.2307/2319287openalex-snapshot
Multiplicative Theory of Ideals.
inferredcites →https://doi.org/10.4064/fm-70-3-245-251openalex-snapshot
Structure and embedding theorems for unique normal decomposition lattices
inferredcites →https://doi.org/10.4153/cjm-1965-028-3openalex-snapshot
The Cancellation Law for Ideals in a Commutative Ring
inferredcites →https://doi.org/10.4153/cjm-1976-072-1openalex-snapshot
Multiplication Ideals, Multiplication Rings, and the Ring R(X)
inferredcites →https://doi.org/10.4153/cjm-1979-072-8openalex-snapshot
Noether Lattices Representable as Quotients of the Lattice of Monomially Generated Ideals of Polynomial Rings
inferredcites →https://doi.org/10.7146/math.scand.a-10363openalex-snapshot
On the ideal theory of commutative semi-groups

What points at this work

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

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Irreducible Ideals of Finitely Generated Commutative Monoids
inferred← citeshttps://doi.org/10.1007/978-1-4899-2608-1_17openalex-snapshot
Semigroups that are Factorial from Inside or from Outside
inferred← citeshttps://doi.org/10.1007/978-1-4899-3558-8_36openalex-snapshot
Dilworth’s Early Papers on Residuated and Multiplicative Lattices
inferred← citeshttps://doi.org/10.1007/978-1-4899-3558-8_38openalex-snapshot
Representation and Embedding Theorems for Noether Lattices and r-Lattices
inferred← citeshttps://doi.org/10.1007/978-3-031-88878-6_4openalex-snapshot
Prime and Primary Ideals and Noetherian Conditions
inferred← citeshttps://doi.org/10.1007/bf01236764openalex-snapshot
Dilworth's principal elements
inferred← citeshttps://doi.org/10.1007/s00012-005-1935-zopenalex-snapshot
Primal decomposition in rings, modules and lattice modules
inferred← citeshttps://doi.org/10.1007/s00233-006-0643-0openalex-snapshot
A Note on the n-Generator Property for Commutative Monoids
inferred← citeshttps://doi.org/10.1007/s00233-014-9653-5openalex-snapshot
Nakayama’s lemma for acts over monoids
inferred← citeshttps://doi.org/10.1007/s00233-022-10308-zopenalex-snapshot
The projection problem in commutative, positively ordered monoids
inferred← citeshttps://doi.org/10.1007/s00233-024-10443-9openalex-snapshot
Some properties of monoids with infinity
inferred← citeshttps://doi.org/10.1007/s40574-024-00437-4openalex-snapshot
Lower spaces of multiplicative lattices
inferred← citeshttps://doi.org/10.1016/s0024-3795(01)00321-4openalex-snapshot
Primary ideals of finitely generated commutative cancellative monoids
inferred← citeshttps://doi.org/10.1023/a:1014932204184openalex-snapshot
Sublattices of regular elements
inferred← citeshttps://doi.org/10.1080/00927872.2016.1233201openalex-snapshot
Factorization theory of root closed monoids of small rank
inferred← citeshttps://doi.org/10.1142/s0219498823300027openalex-snapshot
Counting the ideals with given genus of a numerical semigroup
inferred← citeshttps://doi.org/10.1145/345542.345655openalex-snapshot
How to check if a finitely generated commutative monoid is a principal ideal commutative monoid
inferred← citeshttps://doi.org/10.12988/ija.2016.61276openalex-snapshot
r-Ideals of commutative semigroups
inferred← citeshttps://doi.org/10.12988/imf.2017.7229openalex-snapshot
A short note on a generalization of pure ideals in commutative semigroups
inferred← citeshttps://doi.org/10.1515/math-2018-0053openalex-snapshot
Onf- prime radical in ordered semigroups
inferred← citeshttps://doi.org/10.1515/math-2024-0101openalex-snapshot
On ideals of affine semigroups and affine semigroups with maximal embedding dimension
inferred← citeshttps://doi.org/10.17485/ijst/v16i45.1937openalex-snapshot
Some Properties of Commutative Ternary Right Almost Semigroups
inferred← citeshttps://doi.org/10.2140/ant.2014.8-6openalex-snapshot
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Decompositions of commutative monoid congruences and binomial ideals
inferred← citeshttps://doi.org/10.3390/sym13050794openalex-snapshot
Counting the Ideals with a Given Genus of a Numerical Semigroup with Multiplicity Two
inferred← citeshttps://doi.org/10.4134/bkms.b180635openalex-snapshot
WEAKLY PRIME IDEALS IN COMMUTATIVE SEMIGROUPS
inferred← citeshttps://doi.org/10.52783/cana.v31.726openalex-snapshot
Bipartite through Prescribed Median and Antimedian of a Commutative Ring with Respect to an Ideal
inferred← citeshttps://doi.org/10.7508/ijmsi.2008.02.007openalex-snapshot
Median and Center of Zero-Divisor Graph of Commutative Semigroups
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