Results 71 to 80 of about 1,198,003 (194)

On Rings Whose Simple Singular R-Modules Are Flat, I [PDF]

Al-Rafidain Journal of Computer Sciences and Mathematics, 2010
In this paper we investigate von Neumann regularity of rings whose simple singular right R-modules are flat. It is proved that a ring R is strongly regular if and only if R is a semiprime right quasi-duo ring whose simple singular right R-modules are ...
Raida Mahmood, Abdullah Abdul-Jabbar
doaj   +1 more source

COMMUTING AND 2-COMMUTING DERIVATIONS OF SEMIPRIME RINGS

Journal of Kufa for Mathematics and Computer, 2012
The main purpose of this paper is to study and investigate some results concerning generalized derivation D on semiprime ring R, we obtain a derivation d is commuting  and 2-commuting on R.
Mehsin Jabel Atteya, Dalal Ibraheem Resan   +1 more
doaj   +1 more source

Prime Ideal, Semiprime Ideal, and Radical of an Ideal of an L-Subring

Fuzzy Information and Engineering, 2023
In this paper, we develop a systematic theory for the ideals of an L-ring L(μ, R). We introduce the concepts of a prime ideal, a semiprime ideal, and the radical of an ideal in an L-ring. The notion of a maximal ideal has been introduced and discussed in
Anand Swaroop Prajapati, Naseem Ajmal, Iffat Jahan   +2 more
doaj   +1 more source

Prime Structures in a Morita Context [PDF]

Bol. Soc. Mat. Mex. 26, 991-1001 (2020), 2018
In this paper, we study on the primeness and semiprimeness of a Morita context related to the rings and modules. Necessary and sufficient conditions are investigated for an ideal of a Morita context to be a prime ideal and a semiprime ideal. In particular, we determine the conditions under which a Morita context is prime and semiprime.
arxiv   +1 more source

Orthogonal Generalized Symmetric Reverse Bi-(????, τ)-Derivations of Semi Prime Ring

Communications on Applied Nonlinear Analysis
Let R be a semi prime ring. Suppose that ,  are automorphisms on R.  A symmetric bi-additive mapping  is said to be a generalized symmetric reverse bi-(????, )-derivation on R if there exists a symmetric reverse bi-(????, )-derivation D on R such that ) =
V.S.V. Krishna Murty
semanticscholar   +1 more source

Jordan derivations on semiprime rings [PDF]

Proceedings of the American Mathematical Society, 1988
I. N. Herstein has proved that any Jordan derivation on a 2 2 -torsion free prime ring is a derivation. In this paper we prove that Herstein’s result is true in 2 2 -torsion free semiprime rings. This result makes it possible for us to prove that any linear Jordan derivation on a semisimple Banach algebra is continuous,
openaire   +2 more sources

On rigid derivations in rings

Karpatsʹkì Matematičnì Publìkacìï, 2014
We prove that in a ring $R$ with an identity there exists an element $a\in R$ and a nonzero derivation $d\in Der R$ such that $ad(a)\neq 0$. A ring $R$ is said to be a $d$-rigid ring for some derivation $d \in Der R$ if  $d(a)=0$ or $ad(a)\neq 0$ for all
O.D. Artemovych, M.P. Lukashenko
doaj   +1 more source

On graded weakly $ J_{gr} $-semiprime submodules

AIMS Mathematics
Let $ \Gamma $ be a group, $ \mathcal{A} $ be a $ \Gamma $-graded commutative ring with unity $ 1, $ and $ \mathcal{D} $ a graded $ \mathcal{A} $-module.
Malak Alnimer , Khaldoun Al-Zoubi, Mohammed Al-Dolat   +2 more
doaj   +1 more source

Generalized derivations in prime and semiprime

Boletim da Sociedade Paranaense de Matemática, 2016
Let $R$ be a prime ring, $I$ a nonzero ideal of $R$ and $m, n$  fixed positive integers.  If $R$ admits a generalized derivation $F$ associated with a  nonzero derivation $d$ such that $(F([x,y])^{m}=[x,y]_{n}$ for  all $x,y\in I$, then $R$ is ...
Shuliang Huang, Nadeem ur Rehman
doaj   +1 more source

On Dependent Elements of Semiprime Rings [PDF]

arXiv, 2017
In this paper we study and investigate concerning dependent elements of semiprime rings and prime rings R by using generalized derivation and derivation,when R admsit to satisfy some conditions,we give some results about that.
arxiv