Results 31 to 40 of about 1,620 (232)
Partial orders in regular semigroups [PDF]
Proyecciones (Antofagasta), 2011 First we have obtained equivalent conditions for a regular semigroup and is equivalent to N = N1 It is observed that every regular semigroup is weakly separative and C ⊆ S and on a completely regular semigroup S ⊆ N and S is partial order . It is also obtained that a band (S, .) is normal iff C = N .
Srinivas, K. V. R, Anasuya, Y. L
openaire +2 more sources
Journal of Algebra, 2004 A regular semigroup \(S\) is called \(F\)-regular if there exists a group congruence \(\rho\) on \(S\) such that every \(\rho\)-class contains a greatest element with respect to the natural partial order on \(S\). Continuing many investigations of \(F\)-regular semigroups, the authors characterize them and give a new representation of such semigroups ...
Smith, M. Paula Marques +2 more
openaire +4 more sources
Regularity of Po-Γ-semigroups in Terms of Fuzzy Subsemigroups and Fuzzy Bi-ideals
Fuzzy 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
Commutative Topological Semigroups Embedded into Topological Abelian Groups
Axioms, 2020 In this paper, we give conditions under which a commutative topological semigroup can be embedded algebraically and topologically into a compact topological Abelian group.
Julio César Hernández Arzusa
doaj +1 more source
Semigroup Forum, 1978 summary:The paper contains characterizations of semigroup varieties whose semigroups with one generator (two generators) are permutable. Here all varieties of regular $*$-semigroups are described in which each semigroup with two generators is ...
Nordahl, T.E., Scheiblich, H.E.
openaire +2 more sources
Presentations of inverse semigroups, their kernels and extensions [PDF]
, 2011 "Part of this work was done while Gray was an EPSRC Postdoctoral Research Fellow at the University of St Andrews, Scotland"Let S be an inverse semigroup and let π:S→T be a surjective homomorphism with kernel K.
Ruskuc, Nik +8 more
core +1 more source
GENERALIZED UNI-SOFT INTERIOR IDEALS IN ORDERED SEMIGROUPS [PDF]
Journal of Algebraic Systems, 2019 For all M,N∈P(U) such that M⊂N, we first introduced the definitions of (M,N)-uni-soft ideals and (M,N)-uni-soft interior ideals of an ordered semigroup and studied them. When M=∅ and N=U, we meet the ordinary soft ones. Then we proved that in regular and
R. Khan, A. Khan, B. Ahmad, R. Gul
doaj +1 more source
On regularity preservation in a semigroup [PDF]
Bulletin of the Australian Mathematical Society, 2004 We consider certain subsets of a semigroupS, defined mainly by conditions involving regularity preservation. In particular, theregular baseB(S) ofSmay be regarded as a generalisation of the zero ideal in a semigroup with zero; if it non-empty thenSisE-inversive. The other subsets considered are related in a natural way either to B(S) or to the set RP(S)
openaire +1 more source
, 2002 Over the past 25 years, I have been immersed in research in Algebra and more particularly in ring theory. I embarked on writing this book on Smarandache rings (Srings) specially to motivate both ring theorists and Smarandache algebraists to develop and ...
Vasantha, Kandasamy
core +1 more source
Bi-Interior Ideals of Semigroups
Discussiones Mathematicae - General Algebra and Applications, 2018 In this paper, as a further generalization of ideals, we introduce the notion of bi-interior ideal as a generalization of quasi ideal, bi-ideal and interior ideal of semigroup and study the properties of bi-interior ideals of semigroup, simple semigroup ...
Rao M. Murali Krishna
doaj +1 more source