Results 91 to 100 of about 891,199 (161)

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.
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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.
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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
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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
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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
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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
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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
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Monogenic free inverse semigroups and partial automorphisms of regular rooted trees

Математичні Студії
For a one-to-one partial mapping on an infinite set, we present a criterion in terms of its cycle-chain decomposition that the inverse subsemigroup generated by this mapping is monogenic free inverse. We also give a sufficient condition for a regular
E. Kochubinska, A. Oliynyk
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Prime étale groupoid algebras with applications to inverse semigroup and Leavitt path algebras [PDF]

Journal of Pure and Applied Algebra, 2018
B. Steinberg
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Semigroups of partial linear transformations whose restrictions belong to an injective partial linear transformation semigroup

AIMS Mathematics
Let $ V $ be a vector space over a field $ \mathbb{F} $ and let $ W $ be a subspace of $ V $. The semigroup of partial linear transformations on $ V $ whose restriction to $ W $ belongs to an injective partial linear transformation semigroup $ \mathcal{I}
Kritsada Sangkhanan
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