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(Completely) weak simple semigroups and (Completely) weak 0-simple semigroups
Proyecciones (Antofagasta), 2022 The structure theorems for (Completely) simple semigroups and (Completely) 0-simple semigroups have proved a powerful tool in the investigation of such semigroups. In this paper, first of all, we define weak simple semigroups and weak 0-simple semigroups and compare them with simple semigroups and 0-simple semigroups respectively. Then we give examples
Nouri, Leila +1 more
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Subsemigroups of completely simple semigroups [PDF]
Pacific Journal of Mathematics, 1992 A semigroup which is embeddable into a completely simple semigroup satisfies some weak cancellation laws (C). Conversely, if S is a semigroup which generates a variety which does not contain the variety of left regular bands, nor the variety of right regular bands, then S is embeddable into a completely simple semigroup if it satisfies the laws (C ...
Antonippillai, A., Pastijn, Francis
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On completely 0‐simple semigroups [PDF]
International Journal of Mathematics and Mathematical Sciences, 1995 Let S be a completely 0‐simple semigroup and F be an algebraically closed field. Then for each 0‐minimal right ideal M of S, M = B ∪ C ∪ {0}, where B is a right group and C is a zero semigroup. Also, a matrix representation for S other than Rees matrix is found for the condition that the semigroup ring R(F, S) is semisimple Artinian.
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Subsemigroups of completely simple semigroups II
Semigroup Forum, 1993 [For part II cf. Semigroup Forum 47, No. 1, 126-129 (1993; Zbl 0813.20067).] The quasivariety \(CS_s\) of subsemigroups of completely simple semigroups \((CSS)\) is not finitely based. Infinite quasi-identity bases are constructed for both the above class and for subsemigroups of groups.
Pastijn, F., Antonippillai, A.
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The strong nil-cleanness of semigroup rings
Open Mathematics, 2020 In this paper, we study the strong nil-cleanness of certain classes of semigroup rings. For a completely 0-simple semigroup M=ℳ0(G;I,Λ;P)M={ {\mathcal M} }^{0}(G;I,\text{Λ};P), we show that the contracted semigroup ring R0[M]{R}_{0}{[}M] is ...
Ji Yingdan
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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
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A Linear Generalization of the Nearly Gorenstein Property, With Applications to Veronese Subalgebras
Mathematische Nachrichten, EarlyView.ABSTRACT We study the nearly Gorenstein property for Veronese subalgebras of (semi‐)standard graded algebras. We introduce a condition (♮)$(\natural)$ for Cohen–Macaulay semi‐standard graded rings, motivated by the study of Ehrhart rings. We show that if a semi‐standard graded algebra R$ R$ satisfies (♮)$(\natural)$, then its Veronese subalgebras R(k)$
Sora Miyashita
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Measure‐valued processes for energy markets
Mathematical Finance, Volume 35, Issue 2, Page 520-566, April 2025.Abstract We introduce a framework that allows to employ (non‐negative) measure‐valued processes for energy market modeling, in particular for electricity and gas futures. Interpreting the process' spatial structure as time to maturity, we show how the Heath–Jarrow–Morton approach can be translated to this framework, thus guaranteeing arbitrage free ...
Christa Cuchiero +3 more
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Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT Recent results have shown that domain‐uniform stabilizability and detectability imply spatial exponential decay of perturbations in optimally controlled hyperbolic PDEs on one‐dimensional domains. This domain‐uniform stabilizability and detectability can be achieved only if the control domain is distributed over the whole spatial domain such ...
Benedikt Oppeneiger
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Power graphs of Brandt semigroups
AKCE International Journal of Graphs and CombinatoricsIn this paper, we give some classes of Brandt semigroups which can be uniquely determined by their power graphs. Additionally, it is proved that the completely 0-simple semigroup whose automorphism group is same as that of its power graph is precisely ...
Boxing Yang +3 more
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