Results 61 to 70 of about 320 (83)
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
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
STRUCTURE OF NEAR-RINGS SATISFYING CERTAIN POLYNOMIAL IDENTITIES
, 2014 In this paper, we will introduce the concept of two-sided αgeneralized derivation in prime near-rings as it was outlined by the author N. Argac in [1]. Thereafter, we will generalize the same results proved by many authors (see [2], [4] and [5]) in the ...
A. Boua, A. Kamal
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
A prime ideal principle for two-sided ideals
, 2016 Many classical ring-theoretic results state that an ideal that is maximal with respect to satisfying a special property must be prime. We present a "Prime Ideal Principle" that gives a uniform method of proving such facts, generalizing the Prime Ideal ...
Reyes, Manuel L.
core +1 more source
Ideal of Prime -Rings with Right Reverse Derivations
, 2014 In this paper some results concerning to right reverse derivation on prime -rings are presented if M be a prime -ring with non-zero right reverse derivation d and U be the ideal of M, then M is commutative.
S. M. Salih, Marwa Riyadh Salih
semanticscholar +1 more source
On Self-Injectivity and p-Injectivity [PDF]
, 2005 A generalization of injectivity is studied and several properties are developed. Von Neumann regular rings are characterized. Sufficient conditions are given for a ring to admit a strongly regular classical left quotient ring.
Yue Chi Ming, Roger
core +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 +3 more sources
Jordan Triple Higher Derivations on Prime Rings [PDF]
, 2015 In this paper, we develop some important results relating to the concepts of triple higher derivation and Jordan triple higher derivation on ring R. We show that under certain conditions on R, every Jordan triple higher derivation on R is triple higher ...
Haetinger, Claus, Salih, Salah Mehdi
core +1 more source
Products of generalized derivations on rings
, 2023 In this paper, we show that if the product $(D_1D_2, d_1d_2)$ of generalized derivations $(D_1, d_1)$ and $(D_2, d_2)$ on an algebra $A$ is a generalized derivation, then $d_1D_2$ and $d_2D_1$ map $A$ into $\hbox{rad}(A)$.
Behresi, S. R., Mehdipour, M. J.
core