Results 91 to 100 of about 259 (129)
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Groups of order 24 and their endomorphism semigroups
Journal of Mathematical Sciences, 2007The author proves the following result. Theorem: Let \(G^*\) be a group whose endomorphism semigroup is isomorphic to the endomorphism semigroup of a certain group \(G\) of order 24. Then 1) if \(G=\langle a,b\mid b^3=1\), \(aba=bab\rangle\) (the binary tetrahedral group), then \(G^*\cong G\), or the group is isomorphic to the indefinite group \(A_4\) (
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On Endomorphism Semigroups of Some Connected Unars with Cycle and of Their Homomorphic Images
In this paper some subclass $\mathfrak{K}$ of class of all connected unars with cycle is considered. The connection between the endomorphism semigroups of unars from $\mathfrak{K}$ and of some their homomorphic images is ...
Syrovatskaya, Svetlana Vyacheslavovna
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Topology of the Semigroup of Singular Endomorphisms
SemiGroup Forum, 2000\(\text{End}(V)\) is the semigroup of all endomorphisms of an \(n\)-dimensional vector space \(V\) over either the field \(\mathbb{R}\) of real numbers or the field \(\mathbb{C}\) of complex numbers. The subsemigroup of \(\text{End}(V)\) consisting of all singular endomorphisms is denoted by \({\mathbf S}_n\) and it is well known that \({\mathbf S}_n\)
Krishnachandran, V. N. +1 more
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On endomorphisms of power-semigroups
Asian-European Journal of Mathematics, 2017An involuted semilattice [Formula: see text] is a semilattice [Formula: see text] with an identity element [Formula: see text] and with an involution [Formula: see text] satisfying [Formula: see text] and [Formula: see text]. We consider involuted semilattices [Formula: see text] with an identity [Formula: see text] such that there is a subsemilattice [
Susanti, Yeni, Koppitz, Joerg
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A Functional Equation for the Cosine on Semigroups with Endomorphisms
Vietnam Journal of Mathematics, 2022Let \(S\) be a semigroup and \(\mathbb{F}\) a quadratically closed field of characteristic different from 2. Assume that \(\phi,\varphi\colon S\to S\) are two given endomorphisms and \(\mu\colon S\to \mathbb{F}\) is a given multiplicative mapping satisfying the condition \(\mu(x\varphi(x))=1\) for all \(x\in S\). Then the functional equation \[ f(x\phi(
Mohamed Ayoubi, Driss Zeglami
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Endomorphism Semigroups of Sums of Rings
Canadian Mathematical Bulletin, 1974Let R= 〈R, +, •〉 be the cartesian sum of the rings Ri, i= 1, 2,…, n denoted by , and recall that R is a ring under the componentwise operations. It is well-known (e.g. [1], p. 212) that the endomorphisms of the group 〈R, + 〉 form a ring HomZR (under function addition and composition) and moreover HomZR is isomorphic to the matrix ring under the usual ...
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Endomorphism monoids in varieties of commutative semigroups
Semigroup Forum, 2013A characterization of universal varieties of semigroups is given by \textit{V. Koubek} and \textit{J. Sichler} [J. Aust. Math. Soc., Ser. A 36, 143-152 (1984; Zbl 0549.20038)]. Since there are categories that are not universal but close to being universal the notion of almost universality is used.
Demlová, M., Koubek, V., Sichler, J.
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Endomorphism semigroups of Brouwerian semilattices
Peter Kohler, Kohler Peter
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Endomorphisms of the semigroup of order-preserving mappings
Semigroup Forum, 2010An endomorphism \(f\) of \(\{1,2,\dots,n\}\) is called order preserving provided that \(i\leq j\) implies \(f(i)\leq f(j)\). The main result of this paper gives a complete classification of the semigroup of all order-preserving endomorphisms of \(\{1,2,\dots,n\}\).
Fernandes, V. H. +3 more
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Action of endomorphism semigroups on definable sets
International Journal of Algebra and Computation, 2018The aim of the paper is to construct, discuss and apply the Galois-type correspondence between subsemigroups of the endomorphism semigroup [Formula: see text] of an algebra [Formula: see text] and sets of logical formulas. Such Galois-type correspondence forms a natural frame for studying algebras by means of actions of different subsemigroups of ...
Grigory Mashevitzky +2 more
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