Results 181 to 190 of about 254,909 (213)
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On Radicals of Semigroup Algebras
SemiGroup Forum, 1999For any prime number \(p\) a relation \(\xi_p\) on a semigroup \(S\) is defined by \((x,y)\in\xi_p\) if there exists \(n\geq 1\) such that \(xs_1x\cdots xs_{p^n-1}x=ys_1y\cdots ys_{p^n-1}y\) for all \(s_1,\dots,s_{p^n-1}\in S\). It is shown that \(\xi_p\) is a congruence on \(S\).
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Bulletin of the Malaysian Mathematical Sciences Society, 2015
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C*-algebras of Clifford semigroups
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1989SynopsisWe investigate algebras associated with a (discrete) Clifford semigroupS =∪{Ge: e ∈ E{. We show that the representation theory forSis determined by an enveloping Clifford semigroupUC(S) =∪{Gx: x ∈ X} whereXis the filter completion of the semilatticeE.We describe the representation theory in terms of both disintegration theory and sheaf theory.
Duncan, John, Paterson, A. L. T.
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Semigroup Algebras and Maximal Orders
Canadian Mathematical Bulletin, 1999AbstractWe describe contracted semigroup algebras ofMalcev nilpotent semigroups that are prime Noetherian maximal orders.
Jespers, Eric, Okninski, J.
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Radicals of semigroups and semigroup algebras
Sbornik: Mathematics, 2010In the paper, diverse lower radicals of semigroups are considered, and it is shown how these radicals can be used when evaluating the prime radical of group and semigroup algebras. Conditions are found under which the prime radical of a group algebra coincides with an ideal generated by some congruence. Bibliography: 22 titles.
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Noncommutative Disc Algebras for Semigroups
Canadian Journal of Mathematics, 1998RésuméWe study noncommutative disc algebras associated to the free product of discrete subsemigroups of ℝ+. These algebras are associated to generalized Cuntz algebras, which are shown to be simple and purely infinite. The nonself-adjoint subalgebras determine the semigroup up to isomorphism.
Davidson, Kenneth R., Popescu, Gelu
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Cellularity of Some Semigroup Algebras
Bulletin of the Malaysian Mathematical Sciences Society, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ji, Yingdan, Luo, Yanfeng
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Mathematical Proceedings of the Cambridge Philosophical Society, 1955
In the classical theory of representations of a finite group by matrices over a field , the concept of the group algebra (group ring) over is of fundamental importance. The chief property of such an algebra is that it is semi-simple, provided that the characteristic of is zero or a prime not dividing the order of the group.
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In the classical theory of representations of a finite group by matrices over a field , the concept of the group algebra (group ring) over is of fundamental importance. The chief property of such an algebra is that it is semi-simple, provided that the characteristic of is zero or a prime not dividing the order of the group.
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Ample semigroups and Frobenius algebras
Semigroup Forum, 2015Contracted semigroup algebras \(K_0[S]\) of ample semigroups \(S\) over a field \(K\) are considered. It is shown that, if \(K_0[S]\) is right self-injective then \(S\) must be a finite inverse semigroup. Hence, this algebra is also left self-injective and it is a Frobenius algebra.
Guo, Xiaojiang, Shum, K. P.
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