The relationship between two commutators

Simple item page
dc.creatorKearnes, Keith A.
dc.creatorSzendrei, Ågnes
dc.date1996-04-01
dc.date.accessioned2026-07-07T09:15:30Z
dc.date.available2026-07-07T09:15:30Z
dc.descriptionWe clarify the relationship between the linear commutator and the ordinary commutator by showing that in any variety satisfying a nontrivial idempotent Mal'cev condition the linear commutator is definable in terms of the centralizer relation. We derive from this that abelian algebras are quasi-affine in such varieties. We refine this by showing that if A is an abelian algebra and V(A) satifies an idempotent Mal'cev condition which fails to hold in the variety of semilattices, then A is affine.
dc.identifierhttps://arxiv.org/abs/math/9604246
dc.identifierhttp://arxiv.org/abs/math/9604246
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153038
dc.subjectRings and Algebras
dc.titleThe relationship between two commutators
dc.typetext

Files

Collections

arXiv