[PDF][PDF] Lie ideals and action of generalized derivations in rings

B Dhara, N Rehman, MA Raza - Miskolc Math Notes, 2015 - mat76.mat.uni-miskolc.hu
Let R be a prime ring of characteristic not 2, U a nonzero square closed Lie ideal of R and F;
G; H be the generalized derivations with associated derivations d; ı; h of R respectively. In …

[PDF][PDF] Derivable mappings and commutativity of associative rings

GS Sandhu, D Kumar - Italian J. Pure Appl. Math, 2018 - ijpam.uniud.it
DERIVABLE MAPPINGS AND COMMUTATIVITY OF ASSOCIATIVE RINGS Page 1 ITALIAN
JOURNAL OF PURE AND APPLIED MATHEMATICS – N. 40–2018 (376–393) 376 DERIVABLE …

b-Generalized Derivations on Prime Rings

T Pehlivan, E Albaş - Ukrainian Mathematical Journal, 2022 - Springer
Let R be a prime ring with center Z (R), right Martindale quotient ring Q, and extended
centroid C. A b-generalized derivation is defined as an additive mapping g: R→ Q such that …

[PDF][PDF] Generalized derivations acting as homomorphisms or anti-homomorphisms on Lie ideals

GS Sandhu, D Kumar - Palest. J. Math., 2018 - pjm.ppu.edu
Let R be a 2-torsion free semiprime ring with center Z (R) and L be a non-zero square closed
Lie ideal of R. A mapping F: R→ R is said to be a generalized derivation of R if for all u, v∈ …

Derivations as homomorphisms or anti-homomorphisms in differentially semiprime rings

MP Lukashenko - Matematychni Studii, 2015 - matstud.org.ua
Let $ R $ be a ring with an identity, $ U $ a nonzero right $ d $-ideal and $ d\in\mathop {\rm
Der} R $. We prove that if $ R $ is $ d $-semiprime and $ d $ is a homomorphism …

Generalized derivations on prime rings with involution

OA Zemzami, A Mamouni, L Oukhtite - Algebra and Its Applications …, 2018 - degruyter.com
In the present paper, we study some commutativity criteria for a prime ring with involution
(R,∗) which admits generalized derivations F and G satisfying various identities. Further …

On skew derivations as homomorphisms or anti-homomorphisms

MA Raza, S Huang - Commentationes Mathematicae Universitatis …, 2016 - dml.cz
Let $ R $ be a prime ring with center $ Z $ and $ I $ be a nonzero ideal of $ R $. In this
manuscript, we investigate the action of skew derivation $(\delta,\varphi) $ of $ R $ which …

[PDF][PDF] Commutativity of prime rings with generalized derivations involving Jordan involution

OAIT ZEMZAMI - pjm.ppu.edu
Let R be a prime ring with characteristic different from two and F be a generalized derivation
associated with a derivation d of R. In the present paper we investigate the commutativity of …

Étude de la structure de certains anneaux non commutatifs

AZ Omar - 2020 - toubkal.imist.ma
La structure des anneaux non commutatifs via le comportement de certaines applications
additives (dérivations, dérivations généralisées, homomorphismes,…) sur les anneaux en …

[PDF][PDF] A note on generalized derivations of prime and semiprime rings

N ur Rehman, MA Raza, SA Pary - pjm.ppu.edu
In this manuscript, we investigate the differential identities on (semi)-prime rings involving
generalized derivations. Further, we obtain the structure of rings and information about the …