Results 11 to 20 of about 115,699 (314)
Suppose that A be an abelain ring with identity, B be a unitary (left) A-module, in this paper ,we introduce a type of modules ,namely Quasi-semiprime A-module, whenever is a Prime Ideal For proper submodule N of B,then B is called Quasi ...
Muntaha Abdul- Razaq Hasan
doaj +1 more source
Classification of multiplication modules over multiplication rings with finitely many minimal primes [PDF]
A classification of multiplication modules over multiplication rings with finitely many minimal primes is obtained. A characterisation of multiplication rings with finitely many minimal primes is given via faithful, Noetherian, distributive modules. It is proven that for a multiplication ring with finitely many minimal primes every faithful, Noetherian,
arxiv +1 more source
Some identities in quotient rings
Let R be an associative ring, P a prime ideal of R: In this paper, we study the structure of the ring R=P and describe the possible forms of the generalized derivations satisfying certain algebraic identities on R: As a consequence of our theorems, we ...
Mouhamadi El Hamdaoui+2 more
doaj +1 more source
A characterization of skew $b$-derivations in prime rings [PDF]
Let $R$ be a prime ring, $\alpha$ an automorphism of $R$ and $b$ an element of $Q$, the maximal right ring of quotients of $R$. The main purpose of this paper is to characterize skew $b$-derivations in prime rings which satisfy various differential ...
Shakir Ali+3 more
doaj +1 more source
Homoderivations in Prime Rings
The study consists of two parts. The first part shows that if $h_{1}(x)h_{2}(y)=h_{3}(x)h_{4}(y)$, for all $x,y\in R$, then $ h_{1}=h_{3}$ and $h_{2}=h_{4}$. Here, $h_{1},h_{2},h_{3},$ and $h_{4}$ are zero-power valued non-zero homoderivations of a prime ring $R$. Moreover, this study provide an explanation related to $h_{1}$ and $h_{2}$ satisfying the
Ayşe ENGİN, Neşet AYDIN
openaire +4 more sources
The purpose of this paper is to introduce the concept of graded 2-prime ideals as a new generalization of graded prime ideals. We show that graded 2-prime ideals and graded semi-prime ideals are different.
Malik Bataineh, Rashid Abu-Dawwas
doaj +1 more source
On 3-prime ideal with respect to an element of a near ring
In this paper ,we introduce the notions 3- prime ideal with respect to an element x denoted by (x-3-prime ideal ) of a near ring and the 3-prime ideal near ring with respect to an element x denoted by (x-3-prime ideal near ring ) ,and
Showq M. Ibrahem
doaj +1 more source
Associated Prime Ideal and Minimal Prime Ideal of an Ideal of an L-Subring
In this paper, a systematic theory for the ideals of an L-ring L(μ,R) has been developed. Earlier the authors have introduced the concepts of prime ideals, semiprime ideals, primary ideals, and radical of an ideal in an L-ring.
Anand Swaroop Prajapati+2 more
doaj +1 more source
Semiderivations of Prime Rings [PDF]
A semiderivation of a ring R R is an additive mapping f : R → R f:R \to R together with a function g : R → R g:R \to R such that f ( x y ) = f ( x ) g
openaire +2 more sources
A description of linear mappings in semiprime rings with involution [PDF]
The main purpose of this paper is to descriptive the action of the linear mappings in semi-prime rings and prime ring with involution. More precisely, we establish some results for centralizer mappings (resp.
Horan Angham Shaban, Atteya Mehsin Jabel
doaj +1 more source