Results 1 to 10 of about 90 (79)
On the Independence Number of Cayley Digraphs of Clifford Semigroups
Mathematics, 2023 Let S be a Clifford semigroup and A a subset of S. We write Cay(S,A) for the Cayley digraph of a Clifford semigroup S relative to A. The (weak, path, weak path) independence number of a graph is the maximum cardinality of an (weakly, path, weakly path ...
Krittawit Limkul, Sayan Panma
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On completely regular and Clifford ordered semigroups [PDF]
Afrika Matematika, 2020 18 pages, 1 ...
A K Bhuniya, Kalyan Hansda
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Metrizability of Clifford topological semigroups [PDF]
Semigroup Forum, 2011 We prove that a topological Clifford semigroup $S$ is metrizable if and only if $S$ is an $M$-space and the set $E=\{e\in S:ee=e\}$ of idempotents of $S$ is a metrizable $G_δ$-set in $S$. The same metrization criterion holds also for any countably compact Clifford topological semigroup $S$.
Taras Banakh, Oleg Gutik, Alex Ravsky
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Figa-Talamanca–Herz algebras for restricted inverse semigroups and Clifford semigroups
Journal of Mathematical Analysis and Applications, 2012 The authors develop the Figa-Talamanca-Herz algebras and the space of \(p\)-pseudomeasures to inverse semigroups with restricted semigroup algebras. Let \(1 < p, q < \infty\) be such that \(\frac{1}{p}+\frac{1}{q}=1\). The Banach algebra of \(p\)-pseudomeasures \(PM_{p} (S)\) and the Figa-Talamanca-Herz algebras \(A_{q} (S)\) are defined and it is ...
Medghalchi, A.R. +1 more
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Communications in Algebra39 pages. In this version, we have mainly added content on post Clifford semigroups and braided Clifford semigroups. These form the fourth and sixth sections of the new version. We have also made necessary changes to title, the abstract, introduction and the section on relative Rota- Baxter Clifford ...
Xiaoqian Gong, Shoufeng Wang
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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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Congruence on a strong semilattice of π-groups
上海师范大学学报. 自然科学版, 2022 It is well known that a semigroup is a Clifford semigroup， if and only if it is a strong semilattice of groups， and the class of π-groups is the generalization of groups in the range of π-regular semigroups.
DAI Luyao, ZHANG Jiangang, SHEN Ran
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The Clifford Deformation of the Hermite Semigroup [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2013 This paper is a continuation of the paper [arXiv:0911.4725], investigating a natural radial deformation of the Fourier transform in the setting of Clifford analysis. At the same time, it gives extensions of many results obtained in [arXiv:0907.3749].
De Bie, Hendrik +3 more
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Transposition Regular AG-Groupoids and Their Decomposition Theorems
Mathematics, 2022 In this paper, we introduce transposition regularity into AG-groupoids, and a variety of transposition regular AG-groupoids (L1/R1/LR, L2/R2/L3/R3-groupoids) are obtained. Their properties and structures are discussed by their decomposition theorems: (1)
Yudan Du, Xiaohong Zhang, Xiaogang An
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Cross-Connections in Clifford Semigroups
, 2023 An inverse Clifford semigroup (often referred to as just a Clifford semigroup) is a semilattice of groups. It is an inverse semigroup and in fact, one of the earliest studied classes of semigroups. In this short note, we discuss various structural aspects of a Clifford semigroup from a cross-connection perspective.
Muhammed, P. A. Azeef, Preenu, C. S.
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