Results 21 to 30 of about 68 (65)

Generalized Derivations and Left Ideals in Prime and Semiprime Rings [PDF]

, 2011
Let R be an associative ring, λ a nonzero left ideal of R, d:R→R a derivation and G:R→R a generalized derivation.
Atanu Pattanayak, Basudeb Dhara
core   +1 more source

Smarandache Fuzzy Algebra [PDF]

, 2003
groupoid semi group semigroup group loop group groupoid semigroup loop semi group group ...
Vasantha, Kandasamy, W. B. Vasantha Kandasamy, Kandasamy, Vasantha   +2 more
core   +1 more source

ON DERIVATIONS SATISFYING CERTAIN IDENTITIES ON RINGS AND ALGEBRAS [PDF]

, 2019
The present paper deals with the commutativity of an associative ring $R$ and a unital Banach Algebra $A$ via derivations. Precisely, the study of multiplicative (generalized)-derivations $F$ and $G$ of semiprime (prime) ring $R$ satisfying the ...
Camci, Didem K., Sandhu, Gurninder, Aydin, Neset, Kumar, Deepak   +3 more
core   +3 more sources

( U,R) STRONGLY DERIVATION PAIRS ON LIE IDEALS IN RINGS [PDF]

, 2015
Let R be an associative ring , U be a nonzero Lie ideal of R. In this paper , we will present the definition of (U,R) strongly derivation pair (d,g) , then we will get d=0 (resp.
A. Saed, Ikram
core   +1 more source

not available

, 2021
Neste trabalho estudamos uma classe de anéis, os anéis quadrálicos generalizados, definidos por identidades polinomiais que valem para todas as álgebras quadráticas.
Giuliani, Osmar Francisco
core   +1 more source

On Generalized Derivations and Commutativity of Associative Rings

, 2020
Let be a ring with center Z(). A mapping f : → is said to be strong commutativity preserving (SCP) on if [f (x), f (y)] = [x, y] and is said to be strong anti-commutativity preserving (SACP) on if f (x) ◦ f (y) = x ◦ y for all x, y ∈. In the present
Davvaz Bijan, Davvaz, Bijan, Kumar Deepak, Kumar, Deepak, Sandhu, Gurninder S., Sandhu Gurninder S.   +5 more
core   +1 more source

Commutativity of rings with constraints involving a subset [PDF]

, 2003
summary:Suppose that $R$ is an associative ring with identity $1$, $J(R)$ the Jacobson radical of $R$, and $N(R)$ the set of nilpotent elements of $R$. Let $m \ge 1$ be a fixed positive integer and $R$ an $m$-torsion-free ring with identity $1$.
Khan, Moharram A.
core   +1 more source

Additivity and Central Behavior of CE‐Generalized Homoderivations in Associative Rings

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study examines the commutativity of a ring R endowed with a special class of mappings termed centrally extended generalized homoderivations. These mappings serve as an extension of several existing concepts, including homoderivations, generalized homoderivations, and left centralizers.
Hicham Saber, Hafedh Alnoghashi, Radwan M. Al-Omary, Khaled Aldwoah, Bakri Younis, M. I. Elashiry, Huadong Su   +6 more
wiley   +1 more source

Left Ideals Satisfying Central‐Valued Identities Modulo Semiprime Ideals via Multiplicative (Generalized) Derivations

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this study, we investigate the behavior of semiprime ideals that satisfy certain algebraic identities using multiplicative (generalized) derivations. In addition, examples are provided to show that the limits imposed on the hypotheses of the different theorems are not superfluous.
Amal S. Alali, Abdelkarim Boua, Claus Haetinger, Nadeem ur Rehman, Hafedh Alnoghashi, Smritijit Sen   +5 more
wiley   +1 more source

Fully noncentral Lie ideals and invariant additive subgroups in rings

Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract We prove conditions ensuring that a Lie ideal or an invariant additive subgroup in a ring contains all additive commutators. A crucial assumption is that the subgroup is fully noncentral, that is, its image in every quotient is noncentral. For a unital algebra over a field of characteristic ≠2$\ne 2$ where every additive commutator is a sum of
Eusebio Gardella, Tsiu‐Kwen Lee, Hannes Thiel   +2 more
wiley   +1 more source