Results 141 to 150 of about 406 (162)

Automorphism-Extendable and Endomorphism-Extendable Modules

Journal of Mathematical Sciences, 2020
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ON AUTOMORPHISMS OF THE ENDOMORPHISM SEMIGROUP OF A FREE UNIVERSAL ALGEBRA

International Journal of Algebra and Computation, 2007
Let U be a universal algebra. An automorphism α of the endomorphism semigroup of U defined by α(φ) = sφs-1for a bijection s : U → U is called a quasi-inner automorphism. We characterize bijections on U defining such automorphisms. For this purpose, we introduce the notion of a pre-automorphism of U.
Grigory Mashevitzky, Boris I. Plotkin
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The automorphisms of endomorphism semigroups of relatively free groups

International Journal of Algebra and Computation, 2018
The question of describing the automorphisms of [Formula: see text] for a free algebra [Formula: see text] in a certain variety was considered by different authors since 2002. In this paper, we consider this question for the class of all relatively free groups having only cyclic centralizers of non-trivial elements.
V. S. Atabekyan, H. T. Aslanyan
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Relative Ranks in the Monoid of Endomorphisms of an Independence Algebra

Monatshefte Fur Mathematik, 2007
The relative ranks of the monoid of endomorphisms of a strong independence algebra of infinite rank modulo two distinguished subsets are calculated. These subsets are the group of automorphisms and the endomorphisms alpha satisfying alpha(2) = alpha. The
João Araujo, J D Mitchell
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Automorphisms of the endomorphism semigroup of a free algebra

International Journal of Algebra and Computation, 2015
We suggest a new method for describing automorphisms of the endomorphism semigroup of a free algebra in a variety of algebras. As an application, we describe automorphisms of the endomorphism semigroup of a free Poisson algebra over an arbitrary field [Formula: see text].
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Automorphic and endomorphic reducibility and primitive endomorphisms of free metabelian groups

Communications in Algebra, 1997
Let S be the free metabelian group of rank 2. In this paper we prove the following results:(i) Given a pair of elements g, h of S, there exists an algorithm to decide whether or not g is an automorphic image of h; (ii) If g, h are in the commutator subgroup S′ of S such that each is an endomorphic image of the other then g , h are automorphic; (iii) If
C. K. Gupta, E. I. Timoshenko
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On endomorphism rings of automorphism-invariant modules

Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio computatorica, 2022
In this paper, we give some results of endomorphism rings of automorphism-invariant modules. It shows that if M is an automorphisminvariant self-generator module with finite Goldie dimension then every maximal left ideal of End(M) has the form Au for some right uniform element u in End(M).
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Wold’s Theorem and Automorphic Factors of Endomorphisms

2018
In this chapter, we discuss Wold’s theorem stating the existence of a decomposition of any isometry operator of a Hilbert space in a unitary part and a unilateral shift.
Sergey Bezuglyi, Palle E. T. Jorgensen
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Endomorphisms of automorphism groups of free groups

Algebra and Logic, 2005
Summary: It is proved that any non-trivial endomorphism of the automorphism group \(\Aut F_n\) of a free group \(F_n\), for \(n\geq 3\), either is an automorphism or factorization over a proper automorphism subgroup. An endomorphism of \(\Aut F_2\) is an automorphism, or else a homomorphism onto one of the groups \(S_3\), \(D_8\), \(Z_2\times Z_2 ...
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Automorphisms of the endomorphism semigroup of a free commutative dimonoid

Communications in Algebra, 2016
ABSTRACTWe determine all isomorphisms between the endomorphism semigroups of free commutative dimonoids and prove that all automorphisms of the endomorphism semigroup of a free commutative dimonoid are quasi-inner. In particular, we answer a question of B. I. Plotkin.
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