Results 21 to 30 of about 652,533 (244)
Dendriform Algebras Relative to a Semigroup [PDF]
, 2020 Loday's dendriform algebras and its siblings pre-Lie and zinbiel have received attention over the past two decades. In recent literature, there has been interest in a generalization of these types of algebra in which each individual operation is replaced
M. Aguiar
semanticscholar +1 more source
Journal of Algebra, 2000 Let \(K\) be a ring with an identity and \(S\) a monoid. The paper is concerned with the homological dimension of the semigroup ring \(K[S]\) and with conditions for \(K[S]\) to be hereditary, for certain special classes of semigroups \(S\). First, if \(S\) has a finite ideal chain with factors that are non-null Rees matrix semigroups over certain ...
Jespers, Eric, Wang, Qiang
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Nilpotent Semigroups and Semigroup Algebras
Journal of Algebra, 1994 First, the structure of nilpotent semigroups is discussed. If \(S\) is a completely 0-simple semigroup over a maximal group \(G\), then \(S\) is nilpotent if and only if \(G\) is nilpotent and \(S\) is an inverse semigroup. The main results on semigroup algebras are very interesting, but technical; they examine the prime homomorphic images of semigroup
Jespers, E., Okninski, J.
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Fiat categorification of the symmetric inverse semigroup IS_n and the semigroup F^*_n [PDF]
, 2017 Starting from the symmetric group $S_n$, we construct two fiat $2$-categories. One of them can be viewed as the fiat "extension" of the natural $2$-category associated with the symmetric inverse semigroup (considered as an ordered semigroup with respect ...
Martin, Paul, Mazorchuk, Volodymyr
core +2 more sources
Essential crossed products for inverse semigroup actions: simplicity and pure infiniteness [PDF]
Documenta Mathematica, 2019 We define "essential" crossed products for inverse semigroup actions by Hilbert bimodules on C*-algebras and for Fell bundles over etale, locally compact groupoids.
B. Kwaśniewski, Ralf Meyer
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Decomposition of Semigroup Algebras [PDF]
Experimental Mathematics, 2012 Let A \subseteq B be cancellative abelian semigroups, and let R be an integral domain. We show that the semigroup ring R[B] can be decomposed, as an R[A]-module, into a direct sum of R[A]-submodules of the quotient ring of R[A]. In the case of a finite extension of positive affine semigroup rings we obtain an algorithm computing the decomposition. When
Böhm, Janko +2 more
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Various notions of module amenability on weighted semigroup algebras
Demonstratio Mathematica, 2022 Let SS be an inverse semigroup with the set of idempotents EE. In this article, we find necessary and sufficient conditions for the weighted semigroup algebra l1(S,ω){l}^{1}\left(S,\omega ) to be module approximately amenable (contractible) and module ...
Bodaghi Abasalt, Tanha Somaye Grailoo
doaj +1 more source
Boundary quotients of the Toeplitz algebra of the affine semigroup over the natural numbers [PDF]
Ergodic Theory and Dynamical Systems, 2010 We study the Toeplitz algebra 𝒯(ℕ⋊ℕ×) and three quotients of this algebra: the C*-algebra 𝒬ℕ recently introduced by Cuntz, and two new ones, which we call the additive and multiplicative boundary quotients.
Nathan Brownlowe +3 more
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On the K-theory of the C*-algebra generated by the left regular representation of an Ore semigroup [PDF]
, 2012 We compute the K-theory of C*-algebras generated by the left regular representation of left Ore semigroups satisfying certain regularity conditions. Our result describes the K-theory of these semigroup C*-algebras in terms of the K-theory for the reduced
J. Cuntz, S. Echterhoff, Xin Li
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Hyperbolicity of semigroup algebras
Journal of Algebra, 2008 Let $A$ be a finite dimensional $Q-$algebra and $ subset A$ a $Z-$order. We classify those $A$ with the property that $Z^2$ does not embed in $\mathcal{U}( )$. We call this last property the hyperbolic property. We apply this in the case that $A = KS$ a semigroup algebra with $K = Q$ or $K = Q(\sqrt{-d})$.
Iwaki, Edson +2 more
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