Results 51 to 60 of about 166 (91)
A Study of Generalized Differential Identities via Prime Ideals
Journal of Mathematics, Volume 2025, Issue 1, 2025.Let R be a ring and P be a prime ideal of R. The aim of this research paper is to delve into the relationship between the structural properties of the quotient ring R/P and the behavior of generalized derivations in a ring R endowed with an involution.
Ali Yahya Hummdi +4 more
wiley +1 more source
S‐J‐Ideals: A Study in Commutative and Noncommutative Rings
Journal of Mathematics, Volume 2024, Issue 1, 2024.In this paper, we introduce the concept of S‐J‐ideals in both commutative and noncommutative rings. For a commutative ring R and a multiplicatively closed subset S, we show that many properties of J‐ideals apply to S‐J‐ideals and examine their characteristics in various ring constructions, such as homomorphic image rings, quotient rings, cartesian ...
Alaa Abouhalaka +3 more
wiley +1 more source
Notes on generalized derivations of *-prime rings
, 2014 Let R be a -prime ring with characteristic different from two and U ¤ 0 be a square closed -Lie ideal of R. An additive mapping F W R! R is called an generalized derivation if there exits a derivation d WR!R such that F.xy/D F.x/yCxd.y/.
E. Koç, N. ur Rehman
semanticscholar +1 more source
On Additivity and Multiplicativity of Centrally Extended (α, β)‐Higher Derivations in Rings
International Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.In this paper, the concept of centrally extended (α, β)‐higher derivations is studied. It is shown to be additive in a ring without nonzero central ideals. Also, we prove that in semiprime rings with no nonzero central ideals, every centrally extended (α, β)‐higher derivation is an (α, β)‐higher derivation.
O. H. Ezzat, Attila Gil nyi
wiley +1 more source
On ideals with skew derivations of prime rings
, 2014 Let R be a prime ring and set Œx;y1 D Œx;yD xy yx for all x;y 2 R and inductively Œx;yk D ŒŒx;yk 1;y for k > 1. We apply the theory of generalized polynomial identities with automorphism and skew derivations to obtain the following result: LetR be a
N. Rehman, M. Raza
semanticscholar +1 more source
Characterization of weakly primary ideals over non-commutative rings
, 2014 In this paper, we introduce the concept of weakly primary ideals over non-commutative rings. Several results on weakly primary ideals over non-commutative rings are proved. We prove that a right (resp. left) weakly primary ideal P of a ring R that is not
A. Ashour, M. Hamoda
semanticscholar +1 more source
ON THE LEVITZKI RADICAL OF MODULES
, 2014 In [1] a Levitzki module which we here call an l-prime module was introduced. In this paper we define and characterize l-prime submodules. Let N be a submodule of an R-module M . If l.
N. Groenewald, D. Ssevviiri
semanticscholar +1 more source
Generalized derivations with power values on Lie ideals in rings and Banach algebras
, 2015 Let R be a 2-torsion free prime ring with center Z, right Utumi quotient ring U , generalized derivation F associated with a nonzero derivation d of R and L a Lie ideal of R. If F (uv)n = F (u)mF (v)l or F (uv)n = F (v)lF (u)m for all u, v ∈ L, where m,n,
A. Alkenani +3 more
semanticscholar +1 more source
A note on Jordan left *-centralizers in rings with involution
, 2015 Let R be a ring with involution. An additive mapping T : R → R is called a left ∗-centralizer (resp. Jordan left ∗-centralizer) if T (xy) = T (x)y∗ (resp.
A. Khan +2 more
semanticscholar +1 more source
On Gamma-derivations in the projective product of gamma rings
, 2015 This paper highlights many enlightening results on various Gamma-derivations in the projective product of Gamma-rings. If (X, ) is the projective product of two Gamma-rings ( X1, 1 ) and ( X2 , 2 ), a pair of derivations D1 and D2 on ( X1, 1 ...
Ranu Paul
semanticscholar +1 more source