GENERAL THEOREMS ON AUTOMORPHISMS OF SEMIGROUPS AND THEIR APPLICATIONS

DOI10.1017/S1446788709000019zbMath1194.20059MaRDI QIDQ3183131

João Araújo, Janusz Konieczny

Publication date: 19 October 2009

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

zbMATH Keywords

representationsautomorphismsendomorphism semigroupsgroups of automorphisms of semigroups

Mathematics Subject Classification ID

Representations of groups as automorphism groups of algebraic systems (20F29) Mappings of semigroups (20M15) Automorphisms and endomorphisms of algebraic structures (08A35) Representation of semigroups; actions of semigroups on sets (20M30)

Related Items (12)

Orbits of primitive $k$-homogenous groups on $(n-k)$-partitions with applications to semigroups ⋮ On one class of factorizable fundamental inverse monoids. ⋮ Green's relations in the commutative centralizers of monounary algebras. ⋮ Centralizers in the full transformation semigroup. ⋮ Infinite injective transformations whose centralizers have simple structure. ⋮ The structure of centralizers in the finite symmetric inverse semigroup ⋮ Automorphism groups of circulant digraphs with applications to semigroup theory ⋮ The largest subsemilattices of the endomorphism monoid of an independence algebra. ⋮ AUTOMORPHISM GROUPS OF ENDOMORPHISM MONOIDS OF FREE G-SETS ⋮ CENTRALISERS IN THE INFINITE SYMMETRIC INVERSE SEMIGROUP ⋮ CENTRALIZERS IN THE SEMIGROUP OF INJECTIVE TRANSFORMATIONS ON AN INFINITE SET ⋮ Centralizers of full injective transformations in the symmetric inverse semigroup

Cites Work

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• AUTOMORPHISMS OF ENDOMORPHISM MONOIDS OF RELATIVELY FREE BANDS
• Automorphisms of Endomorphism Monoids of 1-Simple Free Algebras
• Automorphisms of normal partial transformation semigroups
• Automorphisms of transformation semigroups
• Automorphisms of the endomorphism semigroup of a free monoid or a free semigroup
• UNIFORM SEMILATTICES AND BISIMPLE INVERSE SEMIGROUPS
• Semigroup structures for families of functions, I. Some Homomorphism Theorems
• Semigroups and rings of endomorphisms of linear spaces. I

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