Results 21 to 30 of about 59,526 (169)
Dependent Elements of Derivations on Semiprime Rings [PDF]
International Journal of Mathematics and Mathematical Sciences, 2009 We characterize dependent elements of a commuting derivation d on a semiprime ring R and investigate a decomposition of R using dependent elements of d.
Faisal Ali, Muhammad Anwar Chaudhry
doaj +2 more sources
On Semiprime Rings of Bounded Index [PDF]
Proceedings of the American Mathematical Society, 1982 A ring R R is of bounded index (of nilpotency) if there is an integer n ⩾ 1 n \geqslant 1 such that x n = 0 {x^n} = 0 whenever x ∈ R x \in R is nilpotent. The least
Efraim P. Armendariz
openalex +3 more sources
Additive mappings satisfying algebraic identities in semiprime rings [PDF]
Discussiones Mathematicae - General Algebra and Applications, 2023 Abu Zaid Ansari
doaj +2 more sources
Semiprime rings with generalized homoderivations
Boletim da Sociedade Paranaense de Matemática, 2022 This study develops some results involving generalized homoderivation in semiprime rings and investigates the commutativity of semiprime rings admitting generalized homoderivations of ring R satisfying certain identities and some related results have ...
Abdelkarim Boua, Emine Koç Sogutcu
doaj +1 more source
Open Mathematics, 2022 Generalized Munn rings exist extensively in the theory of rings. The aim of this note is to answer when a generalized Munn ring is primitive (semiprimitive, semiprime and prime, respectively).
Guo Junying, Guo Xiaojiang
doaj +1 more source
Semiprime rings with Krull dimension are Goldie
Journal of Algebra, 1973 Robert Gordon, J. C. Robson
openalex +3 more sources
On Multiplicative (Generalized)‐Derivation Involving Semiprime Ideals
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 Let A be any arbitrary associative ring, P a semiprime ideal, and J a nonzero ideal of A. In this study, using multiplicative (generalized)‐derivations, we explore the behavior of semiprime ideals that satisfy certain algebraic identities. Moreover, examples are provided to demonstrate that the restrictions imposed on the hypotheses of the various ...
Hafedh M. Alnoghashi +3 more
wiley +1 more source
Centrally Extended α‐Homoderivations on Prime and Semiprime Rings
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 We present a new type of mappings called centrally extended α‐homoderivations of a ring ℜ (i.e., a map H from ℜ into ℜ which satisfies H(x + y) − H(x) − H(y) ∈ Z(ℜ) and H(xy) − H(x)H(y) − H(x)α(y) − α(x)H(y) ∈ Z(ℜ) for any x, y ∈ ℜ) where α is a mapping of ℜ and discuss the relationship between these mappings and other related mappings.
Mahmoud M. El-Soufi +2 more
wiley +1 more source
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1991 AbstractSome properties of v-semiprime (v = 0, 1, 2) near-rings are pointed out. In particular v semiprime near-rings which contain nil non-nilpotent ideals are studied.
S. De Stefano, S. Di Sieno
openaire +3 more sources