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Cuntz Semigroups of Compact-Type Hopf C*-Algebras

open access: yesAxioms, 2017
The classical Cuntz semigroup has an important role in the study of C*-algebras, being one of the main invariants used to classify recalcitrant C*-algebras up to isomorphism.
Dan Kučerovský
doaj   +4 more sources

Semiprimeness of semigroup algebras

open access: yesOpen Mathematics, 2021
Abundant semigroups originate from p.p. rings and are generalizations of regular semigroups. The main aim of this paper is to study the primeness and the primitivity of abundant semigroup algebras.
Guo Junying, Guo Xiaojiang
doaj   +2 more sources

THE SHORT RESOLUTION OF A SEMIGROUP ALGEBRA [PDF]

open access: yesBulletin of the Australian Mathematical Society, 2015
This work generalises the short resolution given by Pisón Casares [‘The short resolution of a lattice ideal’, Proc. Amer. Math. Soc. 131(4) (2003), 1081–1091] to any affine semigroup.
Ignacio Ojeda, A. Vigneron-Tenorio
semanticscholar   +1 more source

APPROXIMATE IDENTITY IN CLOSED CODIMENSION ONE IDEALS OF SEMIGROUP ALGEBRAS [PDF]

open access: yesJournal of Algebraic Systems, 2014
Let S be a locally compact topological foundation semigroup with identity and Ma(S) be its semigroup algebra. In this paper, we give necessary and sufficient conditions to have abounded approximate identity in closed codimension one ideals of the ...
bharam Mohammadzadeh
doaj   +1 more source

BA-Semigroup

open access: yesTikrit Journal of Pure Science, 2023
Several algebraic structures have been studied by many authors to discuss the relationships among them. This article aims to study two algebraic structures, namely semigroup and BA-algebra, by combining them in one form, namely BA-semigroup and ...
Mohammed Khalid Shahoodh
doaj   +1 more source

The Quiver of the Semigroup Algebra of a Left Regular Band [PDF]

open access: yesInternational journal of algebra and computation, 2006
Recently it has been noticed that many interesting combinatorial objects belong to a class of semigroups called left regular bands, and that random walks on these semigroups encode several well-known random walks.
Franco V. Saliola
semanticscholar   +1 more source

Tropical algebra with high-order matrix for multiple-noise removal

open access: yesJournal of Low Frequency Noise, Vibration and Active Control, 2023
The technology for multiple-noise removal has triggered skyrocketing interest in both mathematics and engineering, and the tropical algebra has laid the foundation for an abundance of noise filters.
Jing Wang
doaj   +1 more source

The Face Semigroup Algebra of a Hyperplane Arrangement [PDF]

open access: yesCanadian Journal of Mathematics - Journal Canadien de Mathematiques, 2005
This article presents a study of an algebra spanned by the faces of a hyperplane arrangement. The quiver with relations of the algebra is computed and the algebra is shown to be a Koszul algebra.
Franco V. Saliola
semanticscholar   +1 more source

Self-injectivity of semigroup algebras

open access: yesOpen Mathematics, 2020
It is proved that for an IC abundant semigroup (a primitive abundant semigroup; a primitively semisimple semigroup) S and a field K, if K 0[S] is right (left) self-injective, then S is a finite regular semigroup.
Guo Junying, Guo Xiaojiang
doaj   +1 more source

The tiling C*-algebra viewed as a tight inverse semigroup algebra [PDF]

open access: yes, 2011
We realize Kellendonk’s C*-algebra of an aperiodic tiling as the tight C*-algebra of the inverse semigroup associated to the tiling, thus providing further evidence that the tight C*-algebra is a good candidate to be the natural associative algebra to go
R. Exel, D. Gonçalves, Charles Starling
semanticscholar   +1 more source

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