Results 1 to 10 of about 136 (128)
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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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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Pseudovarieties of Ordered Completely Regular Semigroups [PDF]
Results in Mathematics, 2019 This paper is a contribution to the theory of finite semigroups and their classification in pseudovarieties, which is motivated by its connections with computer science. The question addressed is what role can play the consideration of an order compatible with the semigroup operation.
Jorge Almeida +2 more
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Some Remarkable Congruences on Completely Regular Semigroups
Rocky Mountain Journal of Mathematics, 1998 A completely regular semigroup \(S\) is expressed as \((Y;S_\alpha)\) thereby indicating that \(S\) is a semilattice \(Y\) of completely simple semigroups \(S_\alpha\). For each pair \(\alpha,\beta\in Y\), \(\alpha>\beta\), let \(\kappa_{\alpha,\beta}\) be the congruence on \(S\) generated by the pairs \((a,b)\), \(a\in S_\alpha\), \(b\in S_\beta ...
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A semilattice of varieties of completely regular semigroups [PDF]
Mathematica Bohemica, 2020 Completely regular semigroups are unions of their (maximal) subgroups with the unary operation within their maximal subgroups. As such they form a variety whose lattice of subvarieties is denoted by $\mathcal L(\mathcal C\mathcal R)$.
Mario Petrich
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Relations on a lattice of varieties of completely regular semigroups [PDF]
Mathematica Bohemica, 2020 Completely regular semigroups $\mathcal{CR}$ are considered here with the unary operation of inversion within the maximal subgroups of the semigroup. This makes $\mathcal{CR}$ a variety; its lattice of subvarieties is denoted by $\mathcal{L(CR)}$.
Mario Petrich
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New Generalizations of sup-Hesitant Fuzzy Ideals of Semigroups
International Journal of Analysis and Applications, 2022 As general concepts of sup-hesitant fuzzy right (resp., left, interior, two-sided) ideals of semigroups, the concepts of sup+α-hesitant fuzzy right (resp., left, interior, two-sided) ideals and sup-β-hesitant fuzzy right (resp., left, interior, two-sided)
Uraiwan Jittburus +5 more
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A NOTE ON PSEUDOVARIETIES OF COMPLETELY REGULAR SEMIGROUPS [PDF]
Bulletin of the Australian Mathematical Society, 2015 A paper of Almeida and Trotter [‘The pseudoidentity problem and reducibility for completely regular semigroups’, Bull. Aust. Math. Soc.63 (2001), 407–433] makes essential use of free profinite semigroupoids over profinite graphs with infinitely many vertices. It has since been shown that such structures must be handled with great care. In this note, it
Almeida, Jorge, Costa, Alfredo
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Lattices of completely regular semigroup varieties [PDF]
Pacific Journal of Mathematics, 1985 Let S be a regular semigroup, E(S) its set of idempotents, \({\mathcal C}(S)\) its congruence lattice. For \(\rho\in {\mathcal C}(S)\), the kernel and the trace of \(\rho\) is defined by ker \(\rho\) \(=\{x\in S\); \(x\rho\) e for \(e\in E(S)\}\), tr \(\rho\) \(=\rho | E(S)\). The sets \(T_{\rho}=\{\theta \in {\mathcal C}(S)\); tr \(\rho\) \(=tr \theta
Pastijn, F. J., Trotter, P. G.
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Flows on Classes of Regular Semigroups and Cauchy Categories
Journal of Mathematics, 2019 We consider the structure of the flow monoid for some classes of regular semigroups (which are special case of flows on categories) and for Cauchy categories.
Suha Ahmed Wazzan
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