Results 91 to 100 of about 26,213 (204)

Studio di una classe notevole di anelli dotata di inverso generalizzato

open access: yesLe 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  

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

open access: yesInternational 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

open access: yesLe 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

open access: yesLe 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

open access: yesМатематичні 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

Introduction to Inverse Semigroups

open access: yes
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 characterization of the translational hull of a weakly type B semigroup with E-properties

open access: yesOpen 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

Monogenic free inverse semigroups and partial automorphisms of regular rooted trees

open access: yesМатематичні 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
doaj   +1 more source

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