Results 101 to 110 of about 503,923 (219)

On Double Inverse Semigroups

, 2013
A double semigroup is a set equipped with two associative binary operations satisfying the middle-four interchange law. A double inverse semigroup is a double semigroup in which both operations are inverse semigroup operations. It is shown by Kock (2007)
DeWolf, Darien
core  

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  

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

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
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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 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

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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Extensions of One Primitive Inverse Semigroup by Another

, 1972
Every inverse semigroup containing a primitive idempotent is an ideal extension of a primitive inverse semigroup by another inverse semigroup. Consequently, in developing the theory of inverse semigroups, it is natural to study ideal extensions of ...
Janet E. Ault
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Derivations and KMS-Symmetric Quantum Markov Semigroups. [PDF]

Commun Math Phys, 2023
Vernooij M, Wirth M.
europepmc   +1 more source