Sequences of commutator operations

DOI10.1007/s11083-012-9282-0zbMath1285.06002arXiv1205.3297OpenAlexW2034296088MaRDI QIDQ382884

Erhard Aichinger, Nebojša Mudrinski

Publication date: 22 November 2013

Published in: Order (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.3297

zbMATH Keywords

modular latticecommutatoradmissible operation sequenceMal'tsev termstrong splitting

Mathematics Subject Classification ID

Operations and polynomials in algebraic structures, primal algebras (08A40) Modular lattices, Desarguesian lattices (06C05)

Related Items (7)

Finite generation of congruence preserving functions ⋮ Congruence lattices forcing nilpotency ⋮ Dickson's lemma, Higman's theorem and beyond: a survey of some basic results in order theory ⋮ Rings of congruence preserving functions ⋮ Congruence preserving expansions of nilpotent algebras ⋮ Finite representation of commutator sequences ⋮ Solvability and nilpotency of expanded groups relative to the nearring of zero and congruence preserving functions

Cites Work

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• Some applications of higher commutators in Mal'cev algebras
• Mal'cev varieties
• 2-affine complete algebras need not be affine complete.
• Finiteness theorems in stochastic integer programming
• Strong representation of congruence lattices
• Antichains of monomial ideals are finite
• Characterizing Translations on Groups by Cosets of Their Subgroups
• Well-quasi-orderings and sets of finite sequences

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