Results 51 to 60 of about 100 (95)

Endomorphism and automorphism graphs of finite groups

Let $G$ be a group. The directed endomorphism graph, $\dend(G)$ of $G$ is a directed graph with vertex set $G$ and there is a directed edge from the vertex $a$ to the vertex $b$ if $a \neq b$ and there exists an endomorphism on $G$ mapping $a$ to $b$. The endomorphism graph, $\uend(G)$ is the corresponding undirected simple graph.
Ajith, Midhuna V, Cameron, Peter J, Ghosh, Mainak, S, Aparna Lakshmanan   +3 more
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Automorphisms of the endomorphism semigroup of a free commutative algebra

, 2009
We describe the automorphism group of the endomorphism semigroup $\End(K[x_1,...,x_n])$ of ring $K[x_1,...,x_n]$ of polynomials over an {\it arbitrary} field $K$. A similar result is obtained for automorphism group of the category of finitely generated free commutative-associative algebras of the variety $\mathcal{CA}$ commutative algebras. This solves
Belov-Kanel, A., Lipyanski, R.
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Endomorphism Algebras and Automorphism Groups of Certain Complex Tori

We study the endomorphism algebra, the automorphism group and the Hodge group of complex tori of complex tori, whose second rational cohomology group enjoys a certain Hodge property introduced by F. Campana.
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Outer automorphisms of endomorphism algebras [PDF]

Colloquium Mathematicum, 2006
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On automorphisms of endomorphic rings of a vector space [PDF]

Časopis pro pěstování matematiky, 1973
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Endomorphisms and automorphisms of the shift dynamical system

Mathematical Systems Theory, 1969
Let \((X(g),a)\) be the shift dynamical system, where the phase space \(X(g)\) of this system is the set of all bisequences over a finite symbol set \(\mathcal S\) with \(\mathrm{card }g>1\). The topology of \(X(g)\) is the product topology induced by the discrete topology of \(\mathcal S\).
exaly   +3 more sources

Endomorphisms and Automorphisms for Factor Inclusions

1993
We investigate some kinds of *;-endomorphisms and automorphisms for inclusions of type II1 factors in connection with Jones index theory.
Marie Choda
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Automorphism groups of endomorphisms of

Glasgow Mathematical Journal, 2022
AbstractFor any algebraically closed field K and any endomorphism f of $\mathbb{P}^1(K)$ of degree at least 2, the automorphisms of f are the Möbius transformations that commute with f, and these form a finite subgroup of $\operatorname{PGL}_2(K)$ . In the moduli space of complex dynamical systems, the locus of maps with nontrivial automorphisms has
Julia Cai, Benjamin Hutz, Leo Mayer, Max Weinreich   +3 more
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Endomorphisms and automorphisms of squares of abelian groups

2008
G. Cälugäreanu, P. Schultz
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On Conditions for an Endomorphism to be an Automorphism

Algebra Colloquium, 2005
If K is a set of automorphisms of a group G, an endomorphism θ : G → G is said to be K-pointwise if for each element t ∈ G, there exists an element φ ∈ K such that θ (t) = φ (t). This generalizes the notion of pointwise inner automorphism. We show that in some special cases, a K-pointwise endomorphism is necessarily an automorphism (it is not true in ...
Abdollahi, Alireza, Endimioni, Gérard
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