Results 21 to 30 of about 219,774 (266)
Group Rings Satisfying Generalized Engel Conditions
پژوهشهای ریاضی, 2020 Let R be a commutative ring with unity of characteristic r≥0 and G be a locally finite group. For each x and y in the group ring RG define [x,y]=xy-yx and inductively via [x ,_( n+1) y]=[[x ,_( n) y] , y].
Mojtaba Ramezan-Nassab
doaj
Group rings for communications [PDF]
International Journal of Group Theory, 2015 This is a survey of some recent applications of abstract algebra, and in particular group rings, to the `communications' areas.
Ted Hurley
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On Idempotent Units in Commutative Group Rings
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2020 Special elements as units, which are defined utilizing idempotent elements, have a very crucial place in a commutative group ring. As a remark, we note that an element is said to be idempotent if r^2=r in a ring. For a group ring RG, idempotent units are
Ömer Küsmüş
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On Galois projective group rings
International Journal of Mathematics and Mathematical Sciences, 1991 Let A be a ring with 1, C the center of A and G′ an inner automorphism group of A induced by {Uα in A/α in a finite group G whose order is invertible}.
George Szeto, Linjun Ma
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On the primitive irreducible representations of finitely generated nilpotent groups
Доповiдi Нацiональної академiї наук України, 2021 We develop some tecniques whish allow us to apply the methods of commutative algebra for studing the representations of nilpotent groups. Using these methods, in particular, we show that any irreducible representation of a finitely generated nilpotent ...
A.V. Tushev
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When are the natural embeddings of classical invariant rings pure?
Forum of Mathematics, Sigma, 2023 Consider a reductive linear algebraic group G acting linearly on a polynomial ring S over an infinite field; key examples are the general linear group, the symplectic group, the orthogonal group, and the special linear group, with the classical ...
Melvin Hochster +3 more
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Journal of Algebra, 2004 An associative ring \(R\) with identity is said to be reversible if \(ab=0\) implies \(ba=0\) for all \(a,b\in R\). The main problem of this paper is the question when the group ring \(K[G]\) of a group \(G\) over a field \(K\) is reversible. The authors prove that if \(G\) is a non-Abelian torsion group and \(K[G]\) is reversible, then \(G\) is ...
Gutan, Marin, Kisielewicz, Andrzej
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Children with sickle cell disease (SCD) face multiple acute and chronic medical complications that may impact their quality of life as reported by patients themselves. Health‐related social needs (HRSNs), such as food and housing insecurity, are common in people with SCD, but the association between HRSNs and patient‐reported ...
Sarah J. Marks +5 more
wiley +1 more source
Generalizations of Morphic Group Rings
International Journal of Mathematics and Mathematical Sciences, 2007 An element a in a ring R is called left morphic if there exists b∈R such that 1R(a)=Rb and 1R(b)=Ra. R is called left morphic if every element of R is left morphic.
Libo Zan, Jianlong Chen, Qinghe Huang
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Primary cutaneous anaplastic large cell lymphoma (pcALCL) is a rare pediatric CD30‐positive T‐cell lymphoproliferative disorder with an excellent prognosis, but its genomic drivers are poorly defined. We report three children with skin‐limited disease demonstrating striking molecular heterogeneity, including NPM::ALK, NUP214::FRK, and a novel ...
Shoshana Greenberger +7 more
wiley +1 more source