Results 41 to 50 of about 62,478 (178)
Locally finite profinite rings
, 2013 We investigate the structure of locally finite profinite rings. We classify (Jacobson-) semisimple locally finite profinite rings as products of complete matrix rings of bounded cardinality over finite fields, and we prove that the Jacobson radical of ...
Dobrowolski, Jan, Krupiński, Krzysztof
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Rings of invariants of finite groups when the bad primes exist [PDF]
, 2019 Let R be a ring (not necessarily with 1) and G be a finite group of automorphisms of R. The set B(R, G) of primes p such that p | |G| and R is not p-torsion free, is called the set of bad primes.
Bavula, V., Futorny, V.
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Jacobson’s conjecture and skew PBW extensions
Revista Integración, 2014 El propósito de este artículo es calcular el radical de Jacobson de las extensiones PBW torcidas sobre dominios. Como consecuencia de este resultado obtenemos una relación directa entre estas extensiones y la conjetura de Jacobson, lo cual nospermite ...
Armando Reyes
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Group algebras and semigroup algebras defined by permutation relations of fixed length
, 2014 Let $H$ be a subgroup of $\text{Sym}_n$, the symmetric group of degree $n$. For a fixed integer $l \geq 2$, the group $G$ presented with generators $x_1, x_2, \ldots ,x_n$ and with relations $x_{i_1}x_{i_2}\cdots x_{i_l} =x_{\sigma (i_1)} x_{\sigma (i_2)}
Cedo, Ferran +2 more
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Semiartinian Profinite Algebras have Nilpotent Jacobson Radical [PDF]
Algebras and Representation Theory, 2013 We give a method to study the finiteness of the coradical filtration of a coalgebra; as a consequence, we show that a left semiartinian profinite algebra has nilpotent Jacobson radical and is right semiartinian too. Equivalently, we show that a for a semilocal profinite algebra, T-nilpotence implies nilpotence for the Jacobson radical. This answers two
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WEAKLY DUO RINGS WITH NIL JACOBSON RADICAL [PDF]
Journal of the Korean Mathematical Society, 2005 Throughout \(R\) is an associative ring with identity. The ring \(R\) is called weakly duo if it is right duo and left duo, that is, for each \(a\in R\) there exists a positive integer \(n\) such that \(a^nR\) and \(Ra^n\), respectively, is two-sided.
Kim, Hong Kee, Kim, Nam Kyun, Lee, Yang
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On the Christensen-Wang bounds for the ghost number of a p-group algebra
, 2015 Christensen and Wang give conjectural upper and lower bounds for the ghost number of the group algebra of a p-group. We apply results of Koshitani and Motose on the nilpotency index of the Jacobson radical to prove the upper bound and most cases of the ...
Aksu, Fatma Altunbulak, Green, David J.
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Revista Latino-Americana de Enfermagem, 2018 Objective: to exemplify the applicability of the Jacobson and Truax Method in a nursing intervention study that analyzed the effectiveness of a home care teaching program after radical prostatectomy.
Luciana Regina Ferreira Pereira da Mata +5 more
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A weak periodicity condition for rings
International Journal of Mathematics and Mathematical Sciences, 2005 A ring is called semi-weakly periodic if each element which is not in the center or the Jacobson radical can be written as the sum of a potent element and a nilpotent element.
Hazar Abu-Khuzam +2 more
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Rings and groups with commuting powers
International Journal of Mathematics and Mathematical Sciences, 1981 Let n be a fixed positive integer. Let R be a ring with identity which satisfies (i) xnyn=ynxn for all x,y in R, and (ii) for x,y in R, there exists a positive integer k=k(x,y) depending on x and y such that xkyk=ykxkand (n,k)=1.
Hazar Abu-Khuzam, Adil Yaqub
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