Results 31 to 40 of about 219,014 (266)
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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Journal of Algebra, 2006 The authors' prime objective is to prove that the integral group ring \(\mathbb{Z} G\) of the non-Abelian finite group \(G\) of order prime to 6 contains two Bass cyclic units that generate a non-Abelian free group. A Bass cyclic unit of \(\mathbb{Z} G\) is an element of the form \[ (1+x+\cdots+x^{k-1})^m+d^{-1}(1-k^m)(1+x+\cdots+x^{d-1}), \] where \(x\
Gonçalves, J. Z., Passman, D. S.
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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
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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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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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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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Pediatric Blood &Cancer, EarlyView.ABSTRACT Pediatric gastroenteropancreatic neuroendocrine neoplasms (GEP‐NENs) are extremely rare and clinically heterogeneous. Management has largely been extrapolated from adult practice. This European Standard Clinical Practice Guideline (ESCP), developed by the EXPeRT network in collaboration with adult NEN experts, provides (adult) evidence ...
Michaela Kuhlen +23 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 PIK3CA‐related overgrowth spectrum (PROS) includes several rare overgrowth disorders resulting from somatic gain‐of‐function mutations in PIK3CA. Despite treatment advances, including the recent approval of alpelisib for PROS in the United States, literature detailing the patient experience with PROS is limited.
Vamsi Bollu +8 more
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