Results 11 to 20 of about 1,661 (220)
Left (Right) Regular and Transposition Regular Semigroups and Their Structures
Mathematics, 2022 Regular semigroups and their structures are the most wonderful part of semigroup theory, and the contents are very rich. In order to explore more regular semigroups, this paper extends the relevant classical conclusions from a new perspective: by ...
Xiaohong Zhang, Yudan Du
doaj +4 more sources
Soft ideals of soft ternary semigroups [PDF]
Heliyon, 2021 In this paper, we introduce the notions of certain classes of soft ideals in soft ternary semigroups and study some inter-relations between different types of soft ideals in a soft ternary semigroup.
S. Kar, I. Dutta
doaj +2 more sources
Open Mathematics, 2018 In this paper, we give some characterizations of 𝓠-regular semigroups and show that the class of 𝓠-regular semigroups is closed under the direct product and homomorphic images.
Feng Xinyang
doaj +3 more sources
On an equivalence between regular ordered Γ-semigroups and regular ordered semigroups [PDF]
Open Mathematics, 2020 In this paper, we develop a technique which enables us to obtain several results from the theory of Γ-semigroups as logical implications of their semigroup theoretical analogues.
Çullhaj Fabiana, Krakulli Anjeza
doaj +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 +5 more sources
Proper Regular Semigroups [PDF]
Proceedings of the American Mathematical Society, 1978 In a recent paper, D. B. McAlister gave several characterizations of proper inverse semigroups. In this paper, the concept of proper is extended to the class of regular semigroups. This is done by requiring that the set of idempotents of the semigroup coincides with the kernel of the minimum group congruence on the semigroup.
F. E. Masat
openaire +2 more sources
Ordered Regular Semigroups with Biggest Associates
Discussiones Mathematicae - General Algebra and Applications, 2019 We investigate the class BA of ordered regular semigroups in which each element has a biggest associate x† = max {y | xyx = x}. This class properly contains the class PO of principally ordered regular semigroups (in which there exists x⋆ = max {y | xyx ...
Blyth T.S., Santos M.H. Almeida
doaj +3 more sources
Ideal Theory in Semigroups Based on Intersectional Soft Sets [PDF]
The Scientific World Journal, 2014 The notions of int-soft semigroups and int-soft left (resp., right) ideals are introduced, and several properties are investigated. Using these notions and the notion of inclusive set, characterizations of subsemigroups and left (resp., right) ideals are
Seok Zun Song +2 more
doaj +2 more sources
On Intra-regular Ordered Semigroups
Semigroup Forum, 1998 An ordered semigroup \(S\) is intra-regular if and only if it is a semilattice of simple semigroups, equivalently, if \(S\) is a union of simple subsemigroups of \(S\) [\textit{N. Kehayopulu}, Semigroup Forum 46, 271-278 (1993; Zbl 0776.06013)]. A \(poe\)-semigroup \(S\) is a semilattice of simple semigroups if and only if it is a semilattice of simple
Kehayopulu, N, Tsingelis, M
openaire +4 more sources
A common framework for restriction semigroups and regular ∗ -semigroups
Journal 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, \(P_S=\{e\in E_S:e=e^{-1}\}\).
Jones, Peter R., Peter R. Jones
openaire +4 more sources