Results 11 to 20 of about 1,047,734 (218)
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
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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
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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
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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.
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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
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A common framework for restriction semigroups and regular ∗ -semigroups [PDF]
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
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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
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Beyond Regular Semigroups [PDF]
, 2012 The topic of this thesis is the class of weakly U-abundant semigroups. This class is very wide, containing inverse, orthodox, regular, ample, adequate, quasi-adequate, concordant, abundant, restriction, Ehresmann and weakly abundant semigroups.
Wang, Yanhui
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Linear inequations with 5-digit and regularity conditions on ordered ternary semigroups [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2021 We investigate linear inequations with 5-digit of regular elements of ordered ternary semigroups, define the notions of ordered weakly left ideals, ordered weakly right ideals and ordered strong bi-ideals of ordered ternary semigroups, give some ...
Patchara Pornsurat +2 more
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On epimorphisms and structurally regular semigroups [PDF]
Categories and General Algebraic Structures with Applications, 2021 In this paper we study epimorphisms, dominions and related properties for some classes of structurally (n,m)-regular semigroups for any pair (n,m) of positive integers. In Section 2, after a brief introduction of these semigroups, we prove that the class
Aftab Shah +3 more
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