Results 51 to 60 of about 308 (83)
Associative and Lie algebras of quotients [PDF]
, 2008 In this paper we examine how the notion of algebra of quotients for Lie algebras ties up with the corresponding well-known concept in the associative case.
Perera Domènech, Francesc +1 more
core +2 more sources
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
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
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
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
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 CERTAIN DIFFERENTIAL IDENTITIES IN PRIME RINGS WITH INVOLUTION
, 2015 In the present paper we investigate commutativity of -prime ring R, which satisfies certain differential identities on -ideals of R. Some results already known for prime rings on ideals have also been deduced.
M. Ashraf, M. Siddeeque
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
Lifting defects for nonstable K_0-theory of exchange rings and C*-algebras
, 2011 The assignment (nonstable K_0-theory), that to a ring R associates the monoid V(R) of Murray-von Neumann equivalence classes of idempotent infinite matrices with only finitely nonzero entries over R, extends naturally to a functor. We prove the following
B Blackadar +28 more
core +4 more sources