Results 41 to 50 of about 225,341 (216)
On Properties of Graded Rings with respect to Group Homomorphisms
International Journal of Mathematics and Mathematical Sciences, 2023 Let G be a group and R be a G-graded ring with non-zero unity. The goal of our article is reconsidering some well-known concepts on graded rings using a group homomorphism α:G⟶G. Next is to examine the new concepts compared to the known concepts.
Azzh Saad Alshehry +2 more
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Periodic rings with finitely generated underlying group
International Journal of Mathematics and Mathematical Sciences, 2004 We study periodic rings that are finitely generated as groups. We prove several structure results. We classify periodic rings that are free of rank at most 2, and also periodic rings R such that R is finitely generated as a group and R/t(R)≃ℤ.
R. Khazal, S. Dascalescu
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On group rings and some of their applications to combinatorics and symmetric cryptography [PDF]
International Journal of Group Theory, 2015 We give a survey of recent applications of group rings to combinatorics and to cryptography, including their use in the di erential cryptanalysis of block ciphers.
Claude Carlet , Yin Tan
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Journal of Algebra, 2008 Let \(G\) be an additive group (not necessarily Abelian) with identity \(0\). The set \(M_0(G)\) of all \(0\)-preserving functions from \(G\) to itself forms a near-ring under pointwise addition and composition of functions. If \(R\subseteq M_0(G)\) is a ring under these operations, then \(R\) is said to be a `subring' of \(M_0(G)\).
Cannon, G. Alan +2 more
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Finite Dimensional Group Rings [PDF]
Proceedings of the American Mathematical Society, 1973 A ring is right finite dimensional if it contains no infinite direct sum of right ideals. We prove that if a group G is finite, free abelian, or finitely generated abelian, then a ring R is right finite dimensional if and only if the group ring RG is right finite dimensional.
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Units and augmentation powers in integral group rings [PDF]
, 2020 Sugandha Maheshwary, Inder Bir S. Passi
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Fuzzy Group Action on an R-Subgroup in a Near-Ring [PDF]
, 2023 Michael N. John, I. U. Udoakpan
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Sylow like theorems for V(ZG) [PDF]
International Journal of Group Theory, 2015 The main part of this article is a survey on torsion subgroups of the unit group of an integral group ring. It contains the major parts of my talk given at the conference "Groups, Group Rings and Related Topics" at UAEU in AlAin October 2013.
Wolfgang Kimmerle
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Molecules, 2020 Unique eleven-membered rings containing silicon, germanium, and tin were synthesized in good yields by the reactions of the corresponding 1,2-bis((2-bromothiophen-3-yl)methoxy)benzenes with (C6H5)2ECl2 where E = Sn, Ge, Si.
Nadi Eleya +6 more
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Idempotents in Group Rings [PDF]
Proceedings of the American Mathematical Society, 1971 In this note we offer an elementary entirely self-contained proof of a theorem of Kaplansky on idempotents in complex group rings.
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