A finite basis theorem for difference-term varieties with a finite residual bound
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Publication:2787967
DOI10.1090/tran/6509zbMath1362.03027OpenAlexW1583392911MaRDI QIDQ2787967
Ágnes Szendrei, Ross Willard, Keith A. Kearnes
Publication date: 7 March 2016
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/tran/6509
Equational logic, Mal'tsev conditions (08B05) Congruence modularity, congruence distributivity (08B10) Equational classes, universal algebra in model theory (03C05)
Related Items (9)
Identities and quasi-identities of pointed algebras ⋮ Characterizing the commutator in varieties with a difference term ⋮ Relatively congruence modular quasivarieties of modules ⋮ Simpler Maltsev conditions for (weak) difference terms in locally finite varieties ⋮ Universal algebraic methods for non-classical logics ⋮ Relative Maltsev definability of some commutator properties ⋮ A juggler's dozen of easy\(^\dag\) problems (\(^\dag\) Well, easily formulated \dots). ⋮ Polynomial-time tests for difference terms in idempotent varieties ⋮ Correction to “A finite basis theorem for difference-term varieties with a finite residual bound”
Cites Work
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- Finite equational bases for congruence modular varieties
- Lattice varieties covering the smallest non-modular variety
- Congruence modularity is permutability composed with distributivity
- Three remarks on the modular commutator
- Finite equational bases for finite algebras in a congruence-distributive equational class
- Para primal varieties: A study of finite axiomatizability and definable principal congruences in locally finite varieties
- A Hamiltonian property for nilpotent algebras
- Identities satisfied by a finite ring
- Finite basis problems and results for quasivarieties
- \(n\)-permutable varieties satisfy non trivial congruence identities
- Varieties with a difference term
- Cardinality bounds for subdirectly irreducible algebras
- Essentially infinitely based varieties of algebras
- Bases for equational theories of semi-groups
- Equational classes generated by finite algebras
- An extension of Willard's finite basis theorem: Congruence meet-semidistributive varieties of finite critical depth
- Identical relations in finite groups
- Geometrical methods in congruence modular algebras
- The Laws of Finite Pointed Groups
- Residually Small Varieties with Modular Congruence Lattices
- The structure of finite algebras
- Equational Bases for Lattice Theories.
- A Characterization of Varieties with a Difference Term, II: Neutral = Meet Semi-Distributive
- AN ORDER-THEORETIC PROPERTY OF THE COMMUTATOR
- Commutator Theory Without Join-Distributivity
- An Easy Way to Minimal Algebras
- The Relationship Between Two Commutators
- TARSKI’S FINITE BASIS PROBLEM IS UNDECIDABLE
- A finite basis theorem for residually finite, congruence meet-semidistributive varieties
- Algebras Whose Congruence Lattices are Distributive.
- A Characterization of Varieties with a Difference Term
- Identities in Two-Valued Calculi
- Identities in Finite Algebras
- A Kiss 4-differences term from a ternary term
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