Results 81 to 90 of about 434 (188)

An analogue of Bernside's lemma for finite inverse symmetric semigroup

Karpatsʹkì Matematičnì Publìkacìï, 2010
An analogue of Bernside's lemma for transitive permutation representations of finite inverse symmetric semigroup is obtained.
Voloshyna T.V.
doaj  

Non-commutative finite monoids of a given order n ≥ 4

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
For a given integer n=p1α1p2α2⋯pkαk$n = p_1^{\alpha _1 } p_2^{\alpha _2 } \cdots p_k^{\alpha _k }$ (k ≥ 2), we give here a class of finitely presented finite monoids of order n. Indeed the monoids Mon(π), where π=〈a1,a2,…,ak|aipiαi=ai, (i=1,2,…,k),aiai+
Ahmadi B., Campbell C.M., Doostie H.
doaj   +1 more source

SEMILATTICE OF BISIMPLE INVERSE SEMIGROUPS

The Quarterly Journal of Mathematics, 1971
The purpose of this paper is to give a structure for a semigroup which is a semilattice of bisimple inverse semigroups and satisfies certain conditions. For such a semigroup, we characterize the idempotent separating congruences.
openaire   +2 more sources

Studio di una classe notevole di anelli dotata di inverso generalizzato

Le Matematiche, 2008
We study a remarkable class of rings, which we call corpids, that is the rings, different from zero, (K;+; .); such that (K; .) is an inverse semi-group (or groupid, which is the name given by G. Tallini [4]).
Maria Scafati Tallini, Maurizio Iurlo
doaj  

Introduction to Inverse Semigroups

This is an account of the theory of inverse semigroups, assuming only that the reader knows the basics of semigroup theory.
openaire   +2 more sources

A simplification of D'Alarcao's idempotent separating extensions of inverse semigroups

International Journal of Mathematics and Mathematical Sciences, 1978
In [2] D'Alarcao states necessary and sufficient conditions for the attainment of an idempotent-separating extension of an inverse semigroup. To do this D'Alarcao needed essentially three mappings satisfying thirteen conditions.
Constance C. Edwards
doaj   +1 more source

Corpidi e loro proprietà

Le Matematiche, 2009
A corpid is a ring (K, +, ·), different from zero, such that (K, ·) is an inverse semigroup. We prove a characterization of corpids, some remarkable results about the lattice of the idempotents and other results concerning the idempotents and the zero ...
Maria Scafati Tallini, Maurizio Iurlo
doaj  

Relazione d'ordine in un corpide

Le Matematiche, 2009
A corpid is a ring (K, +, ·), different from zero, such that (K, ·) is an inverse semigroup. We define an order relation and the notion of simple element. By this we prove several results and a characterization of corpids.
Maria Scafati Tallini, Maurizio Iurlo
doaj  

On locally compact shift continuous topologies on the semigroup $\boldsymbol{B}_{[0,\infty)}$ with an adjoined compact ideal

Математичні Студії
Let $[0,\infty)$ be the set of all non-negative real numbers. The set $\boldsymbol{B}_{[0,\infty)}=[0,\infty)\times [0,\infty)$ with the following binary operation $(a,b)(c,d)=(a+c-\min\{b,c\},b+d-\min\{b,c\})$ is a bisimple inverse semigroup.
O. V. Gutik, M. B. Khylynskyi
doaj   +1 more source

A characterization of the translational hull of a weakly type B semigroup with E-properties

Open Mathematics
Recall that weakly type B semigroups are generalized inverse semigroups on semi-abundant semigroups. The main aim of this article is to prove that the translational hull of a weakly type B semigroup is still a semigroup of the same type.
Li Chunhua, Fang Jieying, Meng Lingxiang
doaj   +1 more source