Results 51 to 60 of about 320 (83)
On superstability of derivations in Banach algebras
Open MathematicsIn this article, we consider some types of derivations in Banach algebras. In detail, we investigate the question of whether the superstability can be achieved under some conditions for some types of derivations, such as Jordan derivations, generalized ...
Chang Ick-Soon, Kim Hark-Mahn, Roh Jaiok
doaj +1 more source
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
A note on power values of derivation in prime and semiprime rings [PDF]
, 2014 Let R be a ring with derivation d, such that (d(xy))^n =(d(x))^n(d(y))^n for all x,y in R and n>1 is a fixed integer. In this paper, we show that if R is a prime, then d = 0 or R is a commutative.
Rahmani, Venus, Sahebi, Shervin
core
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
A Unified approach to the Structure Theory of PI-Rings and GPI-Rings [PDF]
, 2012 2010 Mathematics Subject Classification: 16R20, 16R50, 16R60, 16N60.We give short proofs, based only on basic properties of the extended centroid of a prime ring, of Martindale’s theorem on prime GPI-rings and (a strengthened version of) Posner’s theorem
Brešar, Matej
core
IMAGE ENCRYPTION USING THE INCIDENCE MATRIX
, 2018 The purpose of this article is to indicate the importance of using close planar rings in the construction of high efficiency balanced incomplete block (BIBD) plans, and how these can be used to encrypting the image.
A. Lakehal, A. Boua
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
Derivations and Reverse Derivations in Semiprime Rings
, 2007 The notion of reverse derivation is studied and some properties are obtained. It is shown that in the class of semiprime rings, this notion coincides with the usual derivation when it maps a semiprime ring into its center.
M. Samman, S. Arabia, N. AlYamani
semanticscholar +1 more source
SOME RESULTS ON SEMIGROUP IDEALS IN PRIME RING WITH DERIVATIONS
, 2016 Let R be a prime ring, I be a nonzero semigroup ideal of R, d, g, h be derivations of R and a, b ∈ R. It is proved that if d(x) = ag(x)+h(x)b for all x ∈ I and a, b are not in Z(R) then there exists for some λ ∈ C such that h(x) = λ [a, x], g(x) = λ [b ...
A. Ayran
semanticscholar +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. Rehman
semanticscholar +1 more source