Results 1 to 10 of about 13,210,312 (206)
Indian Journal of Pure and Applied Mathematics, 2012 Let \(KG\) be the group ring of a group \(G\) over a ring \(K\). An element \(\alpha\in KG\) is said to be algebraic over \(K\) if there exists a non-constant polynomial \(f(x)\in K[x]\) such that \(f(\alpha)=0\). In this paper the author makes a survey of the main results in the theory of group rings for algebraic elements which are obtained in recent
I. Passi
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Group Structures and Derivations on PMS-algebras [version 1; peer review: 2 approved] [PDF]
F1000ResearchBackground PMS-algebras are a specific algebraic structure that generalizes a propositional algebra called BCK-algebra. This paper delves into the intricate group structure of these algebras and the concept of derivations within this framework.
Zelalem Teshome Wale +3 more
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On ideals in group algebras: An uncertainty principle and the Schur product [PDF]
Forum mathematicum, 2022 In this paper, we investigate some properties of ideals in group algebras of finite groups over fields. First, we highlight an important link between their dimension, their minimal Hamming distance and the group order. This is a generalized version of an
Martino Borello +2 more
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Non-isomorphic 2-groups with isomorphic modular group algebras [PDF]
Journal für die Reine und Angewandte Mathematik, 2021 We provide non-isomorphic finite 2-groups which have isomorphic group algebras over any field of characteristic 2, thus settling the Modular Isomorphism Problem.
Diego García-Lucas +2 more
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(Non)exotic Completions of the Group Algebras of Isotropy Groups [PDF]
International mathematics research notices, 2020 Motivated by the problem of characterizing KMS states on the reduced C$^*$-algebras of étale groupoids, we show that the reduced norm on these algebras induces a C$^*$-norm on the group algebras of the isotropy groups.
J. Christensen, S. Neshveyev
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Hecke group algebras as degenerate affine Hecke algebras [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 The Hecke group algebra $\operatorname{H} \mathring{W}$ of a finite Coxeter group $\mathring{W}$, as introduced by the first and last author, is obtained from $\mathring{W}$ by gluing appropriately its $0$-Hecke algebra and its group algebra.
Florent Hivert +2 more
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BD algebras and group cohomology
Comptes Rendus. Mathématique, 2021 BD algebras (Beilinson–Drinfeld algebras) are algebraic structures which are defined similarly to BV algebras (Batalin–Vilkovisky algebras). The equation defining the BD operator has the same structure as the equation for BV algebras, but the BD operator
Todea, Constantin-Cosmin
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Biamenability of Banach algebras and its applications [PDF]
AUT Journal of Mathematics and Computing, 2023 In this paper, we introduce the concept of biamenability of Banach algebras and we show that despite the apparent similarities between amenability and biamenability of Banach algebras, they lead to very different, and somewhat opposed, theories.
Sedigheh Barootkoob +1 more
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Unit groups of group algebras on certain quasidihedral groups [PDF]
Surveys in Mathematics and its Applications, 2022 Let Fq be any finite field of characteristic p>0 having q = pn elements. In this paper, we have obtained the complete structure of unit groups of group algebras Fq[QD2k], for k = 4 and 5, for any prime p>0, where QD2k is quasidihedral group of order 2k.
Suchi Bhatt, Harish Chandra
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A New Approach to Braided T-Categories and Generalized Quantum Yang–Baxter Equations
Mathematics, 2022 We introduce and study a large class of coalgebras (possibly (non)coassociative) with group-algebraic structures Hopf (non)coassociative group-algebras.
Senlin Zhang, Shuanhong Wang
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