Automorphisms of the endomorphism semigroup of a free monoid or a free semigroup

DOI10.1090/S0002-9939-03-06923-5zbMath1016.20039MaRDI QIDQ4794562

Grigory Mashevitzky, Boris M. Schein

Publication date: 19 February 2003

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

symmetric groupsendomorphismsinner automorphismsfree semigroupsautomorphism groupsfree monoidsendomorphism monoidsmirror automorphisms

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Free semigroups, generators and relations, word problems (20M05) Automorphisms and endomorphisms of algebraic structures (08A35)

Related Items (19)

GENERAL THEOREMS ON AUTOMORPHISMS OF SEMIGROUPS AND THEIR APPLICATIONS ⋮ The endomorphism monoid of a free trioid of rank 1 ⋮ Automorphisms of categories of free algebras of some varieties ⋮ Orbits of primitive $k$-homogenous groups on $(n-k)$-partitions with applications to semigroups ⋮ A method of finding automorphism groups of endomorphism monoids of relational systems. ⋮ Multi-sorted logic and logical geometry: some problems. ⋮ ON AUTOMORPHISMS OF THE ENDOMORPHISM SEMIGROUP OF A FREE UNIVERSAL ALGEBRA ⋮ ON AUTOMORPHISMS OF CATEGORIES OF UNIVERSAL ALGEBRAS ⋮ SOME RESULTS AND PROBLEMS RELATED TO UNIVERSAL ALGEBRAIC GEOMETRY ⋮ The automorphisms of endomorphism semigroups of relatively free groups ⋮ AUTOMORPHISM GROUPS OF ENDOMORPHISM MONOIDS OF FREE G-SETS ⋮ Automorphisms of the category of free Lie algebras ⋮ Automorphisms of Endomorphism Monoids of 1-Simple Free Algebras ⋮ Automorphisms of the endomorphism semigroup of a free commutative dimonoid ⋮ Automorphisms of the Endomorphism Semigroup of a Free Inverse Semigroup ⋮ Method of verbal operations and automorphisms of the category of free algebras ⋮ On free groups in the infinitely based varieties of S. I. Adian ⋮ The automorphisms of endomorphism semigroups of free burnside groups ⋮ On topological McAlister semigroups

Cites Work

• A question of B. Plotkin about the semigroup of endomorphisms of a free group
• Endomorphisms of finite full transformation semigroups
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