Automorphisms of the Semigroup of All Endomorphisms of Free Algebras
نویسنده
چکیده
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 (see references). All these researches were inspired by the questions prof. B. Plotkin set in connection with so called universal algebraic geometry [11], [12]. The aim of this paper is to suggest a method of describing Aut End(F ) for a free algebra F of an arbitrary variety of universal algebras. This method allows to obtain easily all known results as well as new ones.
منابع مشابه
Automorphisms of the Semigroup of Endomorphisms of Free Algebras of Homogeneous Varieties
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