Results 41 to 50 of about 3,828 (293)
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
doaj
The matrix Jacobson graph of finite commutative rings
Electronic Journal of Graph Theory and Applications, 2022 The notion of the matrix Jacobson graph was introduced in 2019. Let R be a commutative ring and J(R) be the Jacobson radical of ring R. The matrix Jacobson graph of ring R size m × n, denoted 𝔍(R)m × n, is defined as a graph where the vertex set is Rm ...
Siti Humaira +3 more
doaj +1 more source
Approximation of Generalized Left Derivations
Abstract and Applied Analysis, 2008 We need to take account of the superstability for generalized left derivations (resp., generalized derivations) associated with a Jensen-type functional equation, and we also deal with problems for the Jacobson radical ranges of left derivations (resp ...
Sheon-Young Kang, Ick-Soon Chang
doaj +1 more source
Problems on Skew Left Braces [PDF]
Advances in Group Theory and Applications, 2019 Braces were introduced by Rump as a generalization of Jacobson radical rings. It turns out that braces allow us to use ring-theoretic and group-theoretic methods for studying involutive solutions to the Yang–Baxter equation.
Leandro Vendramin
doaj +1 more source
Remarks on the group of unıts of a corner ring
Cumhuriyet Science Journal, 2021 The aim of this study is to characterize rings having the following properties for a non-trivial idempotent element e of R, U (eRe) = e + eJ(R)e = e + J (eRe) (and U (eRe) = e + N (eRe)),where U (-), N (-) and J (-) denote the group of units, the set of ...
Tülay Yıldırım
doaj +1 more source
Some Results on the Divisible Hyperrings
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2023 A class of hyperrings known as divisible hyperrings will be studied in this paper. It will be presented as each element in this hyperring is a divisible element.
Mayssam Fadel Abood +1 more
doaj +1 more source
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
doaj +2 more sources
Some properties of comaximal ideal graph of a commutative ring [PDF]
Transactions on Combinatorics, 2017 Let $R$ be a commutative ring with identity. We use $varphi (R)$ to denote the comaximal ideal graph. The vertices of $varphi (R)$ are proper ideals of R which are not contained in the Jacobson radical of $R$, and two vertices $I$ and $J$ are
Mehrdad Azadi, Zeinab Jafari
doaj +1 more source
On Jacobson Radical for Γ-Rings
, 1970 Jacobson radical of gamma rings is one of the most significant concept in the ring theory. In this paper we consider the Jacobson radical for gamma rings due to A.C. Paul and T.M. Abul Kalam Azad [5].
AC Paul, Md Sabur Uddin
core +1 more source
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
doaj +1 more source