Results 91 to 100 of about 1,009,048 (159)

Semilattice of bisimple regular semigroups [PDF]

open access: yesProceedings of the American Mathematical Society, 1971
The main purpose of this paper is to show that a regular semigroup S S is a semilattice of bisimple semigroups if and only if it is a band of bisimple semigroups and that this holds if and only if D \mathcal {D} is a congruence on S S . It is also shown that a quasiregular semigroup
openaire   +2 more sources

DIVISIBILITY TESTS FOR SMARANDACHE SEMIGROUPS [PDF]

open access: yes, 2002
Two Divisibility Tests for Smarandache semigroups are given. Further, the notion of divisibility of elements in a semigroup is applied to characterize the Smarandache semigroups.
Rao, Chandra Sekhar
core   +1 more source

A further study on ordered regular equivalence relations in ordered semihypergroups

open access: yesOpen Mathematics, 2018
In this paper, we study the ordered regular equivalence relations on ordered semihypergroups in detail. To begin with, we introduce the concept of weak pseudoorders on an ordered semihypergroup, and investigate several related properties.
Tang Jian   +3 more
doaj   +1 more source

Semigroups with inverse skeletons and Zappa-Sz'{e}p products [PDF]

open access: yesCategories and General Algebraic Structures with Applications, 2013
The aim of this paper is to study semigroups possessing $E$-regular elements, where an element $a$ of a semigroup $S$ is {em $E$-regular} if $a$ has an inverse $a^circ$ such that $aa^circ,a^circ a$ lie in $ Esubseteq E(S)$. Where $S$ possesses `enough'
Victoria Gould, Rida-e- Zenab
doaj  

Semigroups Characterized by Their Generalized Fuzzy Ideals

open access: yesJournal of Mathematics, 2013
We have characterized right weakly regular semigroups by the properties of their (∈,∈∨qk)-fuzzy ideals.
Madad Khan, Saima Anis
doaj   +1 more source

Regularity of Po-Γ-semigroups in Terms of Fuzzy Subsemigroups and Fuzzy Bi-ideals

open access: yesFuzzy Information and Engineering, 2015
In this paper, the notions of fuzzy subsemigroups and fuzzy bi-ideals of a po-Γ-semigroup are introduced with some of their important properties investigated. We obtain some characterizations of regular, intra-regular po-Γ-semigroups in terms of fuzzy bi-
Pavel Pal   +3 more
doaj   +1 more source

A common framework for restriction semigroups and regular ∗ -semigroups

open access: yesJournal of Pure and Applied Algebra, 2012
Let \(S\) be a regular \(*\)-semigroup, that is, a semigroup with involution \(a\mapsto a^{-1}\) for which \(a^{-1}\) is an inverse of \(a\). Let \(E_S\) denote the set of idempotents of \(S\) and \(P_S\) the set of \textit{projections} of \(S\), that is, \(P_S=\{e\in E_S:e=e^{-1}\}\).
openaire   +2 more sources

Regular Rees matrix semigroups and regular Dubreil-Jacotin semigroups [PDF]

open access: yesJournal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1981
AbstractA partially ordered semigroup S is said to be a Dubreil-Jacotin semigroup if there is an isotone homomorphism θ of S onto a partially ordered group such that {} has a greatest member. In this paper we investigate the structure of regular Dubreil-Jacotin semigroups in which the imposed partial order extends the natural partial order on the ...
openaire   +2 more sources

Congruences on regular semigroups [PDF]

open access: yesPacific Journal of Mathematics, 1967
Reilly, N. R., Scheiblich, H. E.
openaire   +3 more sources

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