2005/10/11 by Grigori Zhitomirski, Zhitomirski, Grigori
Computer Science · Mathematics · #08A35 #08B20 #20B27 #Advanced Algebra and Logic #FOS: Mathematics #General Mathematics (math.GM) #Geometric and Algebraic Topology #Rings and Algebras (math.RA) #math.GM #math.RA #msc:08A35 #msc:08B20 #msc:20B27 #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.math/0510230
17 pages
arxiv created 2005/10/11 · openalex publication_date 2005/10/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Last 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.