Results 101 to 110 of about 259 (129)

The semigroup of singular endomorphisms

Semigroup Forum, 1999
Let \(S_n\) denote the set of singular endomorphisms of a vector space \(V\) of dimension \(n\) over a field \(k\). It has long been known that \(S_n\) is an idempotent-generated regular semigroup. The author studies the minimal length of factorization of a given endomorphism \(T\) into a product of idempotents which are alternately \(\mathcal L\)- and
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Correspondences of the semigroup of endomorphisms of an equivalence relation

Mathematical Notes, 2015
Let \(X\) be an arbitrary nonempty set. A transformation \(\varphi\) of \(X\) is called an endomorphism of a relation \(\rho\subseteq X\times X\) if \((x,y)\in\rho\) implies \((\varphi(x),\varphi (y))\in\rho\) for every \(x,y\in X\). An ordered pair \((\varphi,\psi)\) of transformations of \(X\) is called an endotopism of \(\rho\) if \((x,y)\in\rho ...
Zhuchok, Yu. V., Toichkina, E. A.
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On alternating semigroups of endomorphisms of a groupoid

Matematicheskie Trudy
The bipolar types of composition of a pair of endomorphisms of a groupoid are studied in this work. The notion of an alternating pair of endomorphisms of a groupoid is introduced. For such pairs, a formula is established for calculating the bipolar type of a composition using the bipolar types of endomorphisms included in the composition.
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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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Automorphisms of the Endomorphism Semigroup of a Free Inverse Semigroup

Communications in Algebra, 2006
We prove that automorphisms of the endomorphism semigroup of a free inverse semigroup are inner and determine all isomorphisms between the endomorphism semigroups of free inverse semigroups.
G. Mashevitzky, Boris M. Schein, Grigori I. Zhitomirski   +2 more
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On endomorphism semigroups of a fuzzily structured set

Kybernetika, 1992
Summary: The category \(\text{FS} ({\mathcal L})\) of \({\mathcal L}\)-fuzzily structured sets (fs-sets) \((X,L, \tau)\) is introduced. \(\text{FS} ({\mathcal L})\) contains, for appropriately chosen category \({\mathcal L}\) of lattices, various categories of fuzzy topological spaces. The problem of definability of fs-sets by means of \({\mathcal L}\)-
Veniamin Shteinbuk, Alexander P. Sostak
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On ideals of semigroups of endomorphisms.

1988
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Endomorphism semigroups of some free products

Journal of Mathematical Sciences, 2012
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Free strict n-tuple semigroups are determined by their endomorphism semigroups

Algebra universalis
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Residually Finite Semigroups of Endomorphisms

Journal of the London Mathematical Society, 1970
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