Constantive Mal’cev clones on finite sets are finitely related

DOI10.1090/S0002-9939-2010-10395-7zbMath1215.08002OpenAlexW2079910378MaRDI QIDQ3053497

Erhard Aichinger

Publication date: 29 October 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2010-10395-7

zbMATH Keywords

polynomialcloneMal'tsev operation

Mathematics Subject Classification ID

Equational logic, Mal'tsev conditions (08B05) Operations and polynomials in algebraic structures, primal algebras (08A40)

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Finite bands are finitely related ⋮ Not all nilpotent monoids are finitely related ⋮ On the number of finite algebraic structures ⋮ Dickson's lemma, Higman's theorem and beyond: a survey of some basic results in order theory ⋮ THE SUBPOWER MEMBERSHIP PROBLEM FOR MAL'CEV ALGEBRAS ⋮ Congruence preserving expansions of nilpotent algebras ⋮ On the number of universal algebraic geometries ⋮ Finite representation of commutator sequences ⋮ Finitely generated equational classes

Cites Work

• Mal'cev algebras with supernilpotent centralizers
• Polynomial clones of Mal'cev algebras with small congruence lattices
• Counting Mal'tsev clones on small sets
• Finiteness theorems in stochastic integer programming
• POLYNOMIAL CLONES ON SQUAREFREE GROUPS
• The structure of finite algebras
• CLONES CONTAINING MAL'TSEV OPERATIONS
• Polynomial Clones Containing the Mal'tsev Operation of the Groups {\open Z}_{p^{2}} and {\open Z}_p \times {\open Z}_p
• Ordering by Divisibility in Abstract Algebras
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