Results 1 to 10 of about 101 (88)
The Clifford Deformation of the Hermite Semigroup [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2013 This paper is a continuation of the paper [De Bie H., Ørsted B., Somberg P., Souček V., Trans. Amer. Math. Soc. 364 (2012), 3875–3902], investigating a natural radial deformation of the Fourier transform in the setting of Clifford analysis.
Hendrik De Bie +3 more
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Minimal conditions on Clifford semigroup congruences [PDF]
International Journal of Mathematics and Mathematical Sciences, 2006 A known result in groups concerning the inheritance of minimal conditions on normal subgroups by subgroups with finite indexes is extended to semilattices of groups [E(S),Se,ϕe,f] with identities in which all ϕe,f are epimorphisms (called q partial ...
M. El-Ghali M. Abdallah +2 more
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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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Characterizations of Clifford semigroup digraphs
Discrete Mathematics, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sayan Panma +3 more
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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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On inverse semigroups the closure of whose set of idempotents is a clifford semigroup
Semigroup Forum, 1992 The semigroups mentioned in the title \{they form the first uninvestigated class in the \textit{M. Petrich} and \textit{N. R. Reilly} diagram [Trans. Am. Math. Soc. 270, 309-325 (1982; Zbl 0484.20026)]\} are exactly the inverse subsemigroups of semidirect products of a Clifford semigroup and a group. Under an additional condition \textit{D.
Bernd Billhardt
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The semigroup generated by certain operators on the congruence lattice of a clifford semigroup
Semigroup Forum, 1992 For any congruence relation \(\rho\) on a regular semigroup \(S\), let \(\rho K\) and \(\rho k\) be the greatest and the least congruences on \(S\) with the same kernel as \(\rho\), and, \(\rho T\) and \(\rho t\) the greatest and the least congruences on \(S\) with the same trace as \(\rho\). The semigroup generated by the set \(\Gamma=\{k,K,t,T\}\) of
Mario Petrich, Petrich Mario
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Characterizing compact Clifford semigroups that embed into convolution and functor-semigroups [PDF]
Semigroup Forum, 2011 We study algebraic and topological properties of the convolution semigroups of probability measures on a topological groups and show that a compact Clifford topological semigroup $S$ embeds into the convolution semigroup $P(G)$ over some topological group $G$ if and only if $S$ embeds into the semigroup $\exp(G)$ of compact subsets of $G$ if and only ...
Taras Banakh +2 more
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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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First and Second Module Cohomology Groups for Non Commutative Semigroup Algebras [PDF]
Sahand Communications in Mathematical Analysis, 2020 Let $S$ be a (not necessarily commutative) Clifford semigroup with idempotent set $E$. In this paper, we show that the first (second) Hochschild cohomology group and the first (second) module cohomology group of semigroup algbera $\ell^1(S)$ with ...
Ebrahim Nasrabadi
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