A relational description of higher commutators in Mal'cev varieties

DOI10.1007/s00012-016-0391-2zbMath1357.08002arXiv1412.5776OpenAlexW2963555667MaRDI QIDQ334978

Jakub Opršal

Publication date: 1 November 2016

Published in: Algebra Universalis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.5776

zbMATH Keywords

clonecommutator theoryMal'cev algebras

Mathematics Subject Classification ID

Equational logic, Mal'tsev conditions (08B05) Subalgebras, congruence relations (08A30) Operations and polynomials in algebraic structures, primal algebras (08A40)

Related Items (10)

Higher Kiss terms ⋮ Congruence preserving operations on the ring $\mathbb{Z}_{p^3}$ ⋮ Three concepts of nilpotence in loops ⋮ Supernilpotent Taylor algebras are nilpotent ⋮ On supernilpotent algebras ⋮ Higher commutator theory for congruence modular varieties ⋮ Complexity of term representations of finitary functions ⋮ Congruence preserving expansions of nilpotent algebras ⋮ Generating subdirect products ⋮ Supernilpotence need not imply nilpotence

Cites Work

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• On the number of finite algebraic structures
• Some applications of higher commutators in Mal'cev algebras
• A survey of clones on infinite sets
• A Mal'cev condition for admissible relations
• Counting Mal'tsev clones on small sets
• Commutator relations and the clones of finite groups.
• Varieties with few subalgebras of powers
• CLONES CONTAINING MAL'TSEV OPERATIONS
• On various concepts of nilpotence for expansions of groups

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