Results 41 to 50 of about 263 (93)
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
Direct sums of J‐rings and radical rings
International Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 3, Page 531-534, 1995., 1994 Let R be a ring, J(R) the Jacobson radical of R and P the set of potent elements of R. We prove that if R satisfies (∗) given x, y in R there exist integers m = m(x, y) > 1 and n = n(x, y) > 1 such that xmy = xyn and if each x ∈ R is the sum of a potent element and a nilpotent element, then N and P are ideals and R = N ⊕ P.
Xiuzhan Guo
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 4, Page 667-670, 1994., 1993 Let R be a ring, and let C denote the center of R. R is said to have a prime center if whenever ab belongs to C then a belongs to C or b belongs to C. The structure of certain classes of these rings is studied, along with the relation of the notion of prime centers to commutativity. An example of a non‐commutative ring with a prime center is given.
Hazar Abu-Khuzam, Adil Yaqub
wiley +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
Generalized (; )-derivations and Left Ideals in Prime and Semiprime Rings [PDF]
, 2017 Let R be an associative ring, ; be the automorphisms of R, be a nonzero left ideal of R, F : R ! R be a generalized (; )-derivation and d : R ! Rbe an (; )-derivation.
Ali, Asma, Rahaman, Hamidur
core +2 more sources
Action of prime ideals on generalized derivations-I [PDF]
arXiv, 2021 In the present paper, we investigate the commutativity of quotient ring $R/P$ where $R$ is any ring and $P$ is a prime ideal of $R$ which admits generalized derivations are satisfying some algebraic identities acting on prime ideals $P$.
arxiv
Strong commutativity preserving generalized derivations on triangular rings
, 2014 Let U = Tri(A,M,B) be a triangular ring such that either A or B has no nonzero central ideals. It is shown that every pair of strong commutativity preserving generalized derivations g1,g2 of U (i.e., [g1(x),g2(y)] = [x,y] for all x,y ∈U ) is of the form ...
He Yuan, Yao Wang, Yu Wang, Yiqiu Du
semanticscholar +1 more source
On Jordan Generalized Higher Reverse Derivations on -rings
, 2014 In this paper, we study the concepts of generalized higher reverse derivation and Jordan generalized higher reverse derivation and Jordan generalized triple higher reverse derivation on -ring M.
S. M. Salih, Marwa Riyadh Salih
semanticscholar +1 more source
Additive Property of Drazin Invertibility of Elements [PDF]
, 2013 In this article, we investigate additive properties of the Drazin inverse of elements in rings and algebras over an arbitrary field. Under the weakly commutative condition of $ab = \lambda ba$, we show that $a-b$ is Drazin invertible if and only if $aa ...
Chen, Jianlong +3 more
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