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Automorphisms and endomorphisms of first-order structures [PDF]
In this thesis, we consider questions relating to automorphisms and endomorphisms of countable, relational first-order structures M, with a particular emphasis on bimorphism monoids. We determine semigroup-theoretic results for three types of endomorphism monoid onM, along with generation results whenMis the random graph R or the discrete linear order (
Coleman, Thomas
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AUTOMORPHISM GROUPS OF ENDOMORPHISM MONOIDS OF FREE G-SETS
Asian-European Journal of Mathematics, 2014Let G be a group. A G-set is a nonempty set A together with a (right) action of G on A. The class of G-sets, viewed as unary algebras, is a variety. For a set X, let AG(X) be the free algebra on X in the variety of G-sets. We determine the group of automorphisms of End (AG(X)), the monoid of endomorphisms of AG(X).
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Crossed Products by Semigroups of Endomorphisms and Groups of Partial Automorphisms
Canadian Mathematical Bulletin, 2003AbstractWe consider a class (A; S; α) of dynamical systems, where S is an Ore semigroup and α is an action such that each αs is injective and extendible (i.e. it extends to a non-unital endomorphism of the multiplier algebra), and has range an ideal of A.
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Automorphism Groups and Endomorphism Semigroups of Groups B(m, n)
Algebra and Logic, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On automorphisms and endomorphisms of Abelian groups
1962zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Partial automorphisms and injective partial endomorphisms of a finite undirected path
Semigroup Forum, 2021Ilinka Dimitrova +2 more
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Endomorphisms of the Riordan group
Linear and Multilinear Algebra, 2021Pasquale Petrullo, Domenico Senato
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Automorphisms of the endomorphism semigroup of a free abelian diband
2023We determine all isomorphisms between the endomorphism semigroups of free abelian dibands and prove that all automorphisms of the endomorphism semigroup of a free abelian diband are inner.
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Chapter 8 Modules with many endomorphisms or automorphisms
De Gruyter Expositions in Mathematics, 2008Piotr A Krylov, Askar A Tuganbaev
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