Results 181 to 190 of about 4,079 (208)

Commutators in semiprime gamma rings

Asian-European Journal of Mathematics, 2020
We characterize connections between associative, Lie and Jordan structures of semiprime gamma rings.
Ahmad Al Khalaf, I. Taha, O. Artemovych
semanticscholar   +1 more source

FULLY PRIME MODULES AND FULLY SEMIPRIME MODULES

, 2020
Fully prime rings (in which every proper ideal is prime) have been studied by Blair and Tsutsui, and fully semiprime rings (in which every proper ideal is semiprime) have been studied by Courter. For a given module M , we introduce the notions of a fully
J. Beachy, M. Medina-Bárcenas
semanticscholar   +1 more source

Additive n-commuting maps on semiprime rings

Proceedings of the Edinburgh Mathematical Society, 2019
Let R be a semiprime ring with the extended centroid C and Q the maximal right ring of quotients of R. Set [y, x]1 = [y, x] = yx − xy for x, y ∈ Q and inductively [y, x]k = [[y, x]k−1, x] for k > 1. Suppose that f : R → Q is an additive map satisfying [f(
Cheng–Kai Liu
semanticscholar   +1 more source

On Semiprime Submodules

Communications in Algebra, 2009
In this work, we study semiprime and radical submodules of modules. We know that every radical submodule is semiprime, and we investigate when the converse is true.
openaire   +2 more sources

THE SOURCE OF SEMIPRIMENESS OF RINGS

2018
Let R be an associative ring. We define a subset S-R of R as S-R = {a is an element of R vertical bar aRa = (0)} and call it the source of semiprimeness of R. We first examine some basic properties of the subset S-R in any ring R, and then define the notions such as R being a vertical bar S-R vertical bar-reduced ring, a vertical bar S-R vertical bar ...
Demir C., Aydin N., Camci D.K.
openaire   +3 more sources

Certain basic functional identities of semiprime rings

Communications in Algebra, 2019
The goal of the article is to discuss certain basic functional identities of semiprime rings. Specifically, the following result is proved: Let R be a semiprime ring with extended centroid C and let be additive maps, where denotes the maximal left ring ...
Tsiu-Kwen Lee
semanticscholar   +1 more source

Some results on ideals of semiprime rings with multiplicative generalized derivations

, 2018
Let R be a semiprime ring and I a nonzero ideal of R. A map F:R→R is called a multiplicative generalized derivation if there exists a map d:R→R such that F(xy) = F(x)y+xd(y), for all x,y∈R.
E. Koç, Ö. Gölbasi
semanticscholar   +1 more source

Semiprime submodules of a module and related concepts

Journal of Algebra and its Applications, 2019
In this paper, we consider the notion of semiprime submodules, which is a natural generation of semiprime ideals. The main purpose of this paper is to give local-global properties of semiprimes and semiprime radicals as well as results on finitely ...
Sang Cheol Lee, R. Varmazyar
semanticscholar   +1 more source

Derivations of differentially semiprime rings

Asian-European Journal of Mathematics, 2019
Earlier D. A. Jordan, C. R. Jordan and D. S. Passman have investigated the properties of Lie rings Der [Formula: see text] of derivations in a commutative differentially prime rings [Formula: see text].
Ahmad Al Khalaf, I. Taha, O. Artemovych, Abdullah Aljouiiee   +3 more
semanticscholar   +1 more source

Some identities related to multiplicative (generalized)-derivations in prime and semiprime rings

Rendiconti del Circolo Matematico di Palermo Series 2, 2022
B. Dhara, S. Kar, Nripendu Bera
semanticscholar   +1 more source