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Congruence modularity is permutability composed with distributivity
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/bf01224955openalex-snapshot
An easy way to the commutator in modular varieties
inferredcites →https://doi.org/10.1007/bf01238496openalex-snapshot
A concrete ideal multiplication for algebraic systems and its relation to congruence distributivity
inferredcites →https://doi.org/10.1007/bf01437822openalex-snapshot
�ber die L�sungsmengen von Gleichungssystemen �ber allgemeinen Algebren
inferredcites →https://doi.org/10.1007/bf02483903openalex-snapshot
Some applications of the term condition
inferredcites →https://doi.org/10.4153/cmb-1969-016-6openalex-snapshot
A Characterization of Modularity for Congruence Lattices of Algebras*
inferredcites →https://doi.org/10.7146/math.scand.a-10850openalex-snapshot
Algebras Whose Congruence Lattices are Distributive.
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1002/malq.19890350403openalex-snapshot
Hyperidentities of Dyadic Algebras
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Congruence modular varieties: commutator theory and its uses
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Free-Algebra Functors from a Coalgebraic Perspective
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Absorption and directed Jónsson terms
inferred← citeshttps://doi.org/10.1007/bf00346133openalex-snapshot
Monotone clones and congruence modularity
inferred← citeshttps://doi.org/10.1007/bf01190406openalex-snapshot
Congruence lower semimodularity and 2-finiteness imply congruence modularity
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The modular commutator via the Gumm terms
inferred← citeshttps://doi.org/10.1007/bf01195263openalex-snapshot
Finite equational bases for congruence modular varieties
inferred← citeshttps://doi.org/10.1007/bf01195264openalex-snapshot
Nilpotent and solvable radicals in locally finite congruence modular varieties
inferred← citeshttps://doi.org/10.1007/bf01212443openalex-snapshot
Finitary decidability implies congruence permutability for congruence modular varieties
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Bjarni J�nsson's contributions in algebra
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Congruence-distributive varieties of algebras
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More conditions equivalent to congruence modularity
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Optimal Mal’tsev conditions for congruence modular varieties
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On the congruence modularity conjecture
inferred← citeshttps://doi.org/10.1007/s00012-008-2068-yopenalex-snapshot
Axiomatizable and nonaxiomatizable congruence prevarieties
inferred← citeshttps://doi.org/10.1007/s00012-011-0156-xopenalex-snapshot
Categorical (binary) difference terms and protomodularity
inferred← citeshttps://doi.org/10.1007/s00012-012-0186-zopenalex-snapshot
An easy test for congruence modularity
inferred← citeshttps://doi.org/10.1007/s00012-013-0256-xopenalex-snapshot
Equations implying congruence n-permutability and semidistributivity
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The Jónsson distributivity spectrum
inferred← citeshttps://doi.org/10.1007/s00012-018-0512-1openalex-snapshot
Quasiorder lattices of varieties
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Random models of idempotent linear Maltsev conditions. I. Idemprimality
inferred← citeshttps://doi.org/10.1007/s00012-020-00651-zopenalex-snapshot
On difunctionality of class relations
inferred← citeshttps://doi.org/10.1007/s00012-020-00697-zopenalex-snapshot
The Tschantz and the alvin higher conditions are equivalent in congruence distributive varieties
inferred← citeshttps://doi.org/10.1007/s00012-024-00855-7openalex-snapshot
Relative lengths of Maltsev conditions
inferred← citeshttps://doi.org/10.1007/s000120050120openalex-snapshot
Topological implications in varieties
inferred← citeshttps://doi.org/10.1007/s00013-020-01503-xopenalex-snapshot
The Gumm level equals the alvin level in congruence distributive varieties
inferred← citeshttps://doi.org/10.1007/s10485-025-09807-1openalex-snapshot
Hardly Groupoids and Internal Categories in Gumm Categories
inferred← citeshttps://doi.org/10.1016/0012-365x(95)00312-kopenalex-snapshot
Algebraic properties and dismantlability of finite posets
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Formations, bihomorphisms and natural transformations
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Idempotent Totally Symmetric Operations on Finite Posets
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Order Varieties and Monotone Retractions of Finite Posets
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Jónsson Terms and Near-Unanimity Functions in Finite Posets
inferred← citeshttps://doi.org/10.1090/tran/6509openalex-snapshot
A finite basis theorem for difference-term varieties with a finite residual bound
inferred← citeshttps://doi.org/10.1142/s0218196709004956openalex-snapshot
ON THE COMPLEXITY OF SOME MALTSEV CONDITIONS
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Complexity and polymorphisms for digraph constraint problems under some basic constructions
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Quasiorder lattices in congruence modular varieties
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Quasiorder lattices of universal algebras
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Ralph Freese and Ralph McKenzie. Commutator theory for congruence modular varieties. London Mathematical Society lecture note series, no. 125. Cambridge University Press, Cambridge etc. 1987, iii + 227 pp.
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Finitely related algebras in congruence modular varieties have few subpowers
inferred← citeshttps://doi.org/10.48550/arxiv.1704.05274openalex-snapshot
Relation identities equivalent to congruence modularity
inferred← citeshttps://doi.org/10.48550/arxiv.1709.06023openalex-snapshot
On the number of terms witnessing congruence modularity
inferred← citeshttps://doi.org/10.48550/arxiv.1902.05995openalex-snapshot
Day's Theorem is sharp for $n$ even
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A syntactic characterization of weakly Mal'tsev varieties
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