Automorphisms of the semigroup of all endomorphisms of free algebras

dc.creatorZhitomirski, Grigori
dc.date2005-10-11
dc.date.accessioned2026-07-07T06:47:22Z
dc.date.available2026-07-07T06:47:22Z
dc.descriptionLast years a number of papers were devoted to describing automorphisms of semigroups of endomorphisms of free finitely generated universal algebras of some varieties: groups, semigroups, associative commutative algebras, inverse semigroups, modules, Lie algebras and some others. All these researches were inspired by the questions prof. B. Plotkin set in connection with so called universal algebraic geometry (see for example Arxiv:math, GM/0204245). The aim of this paper is to suggest a method of describing the group AutEnd(F) for a free finitely generated algebra F of an arbitrary variety of universal algebras. This method allows to obtain easily all known results as well as new ones.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/math/0510230
dc.identifierhttp://arxiv.org/abs/math/0510230
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103631
dc.subjectGeneral Mathematics
dc.subjectRings and Algebras
dc.subject08A35; 08B20; 20B27
dc.titleAutomorphisms of the semigroup of all endomorphisms of free algebras
dc.typetext

Files

Collections