Results 71 to 80 of about 2,863 (195)

On rings of quotients of semiprime $\Gamma$-rings [PDF]

Miskolc Mathematical Notes, 2012
WOS ...
Koc, Emine, Golbasi, Oznur
openaire   +3 more sources

On Maps of Period 2 on Prime and Semiprime Rings

International Journal of Mathematics and Mathematical Sciences, 2014
A map f of the ring R into itself is of period 2 if f2x=x for all x∈R; involutions are much studied examples. We present some commutativity results for semiprime and prime rings with involution, and we study the existence of derivations and generalized ...
H. E. Bell, M. N. Daif
doaj   +1 more source

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

Ideals and hereditary subalgebras in operator algebras

, 2012
This paper may be viewed as having two aims. First, we continue our study of algebras of operators on a Hilbert space which have a contractive approximate identity, this time from a more Banach algebraic point of view.
Almus, Melahat, Blecher, David P., Read, Charles John   +2 more
core   +1 more source

Modules With Epimorphisms Between Their Submodules

Journal of Mathematics, Volume 2025, Issue 1, 2025.
An R‐module M is called weakly uniserial if its submodules are comparable regarding embedding, i.e., if for any two submodules N, K of M, HomR(N, K) or HomR(K, N) contains an injective element. Here, we are interested in studying modules which for any two submodules of them there is an epimorphism from one to the other.
P. Karimi Beiranvand, Pramita Mishra
wiley   +1 more source

Modules over strongly semiprime rings

Discrete Mathematics and Applications, 2019
Abstract For a ring A , the following conditions are equivalent. A is a right strongly semiprime ring.
openaire   +3 more sources

Higher Derivations Satisfying Certain Identities in Rings

Journal of Mathematics, Volume 2024, Issue 1, 2024.
Let n and m be fixed positive integers. In this paper, we establish some structural properties of prime rings equipped with higher derivations. Motivated by the works of Herstein and Bell‐Daif, we characterize rings with higher derivations D=dii∈N satisfying (i) dnx,dmy∈ZR for all x,y∈R and (ii) dnx,y∈ZR for all x,y∈R.
Amal S. Alali, Shakir Ali, Naira N. Rafiquee, Vaishali Varshney, Faranak Farshadifar   +4 more
wiley   +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

Semiprime skew group rings

Journal of Algebra, 1978
In this paper we prove that if G is a finite group of automorphisms acting on a semiprime ring R such that R has no additive ] G j-torsion, then the skew group ring R*G is also semiprime. The result was heretofore known in such special cases as when G is finite abelian, R is Goldie, or R satisfies a polynomial identity [I]. Our technique of proof is to
Fisher, Joe W, Montgomery, Susan
openaire   +1 more source

On the generalization of torsion functor and P-semiprime modules over noncommutative rings [PDF]

Journal of Hyperstructures
Let R be an associative Noetherian unital noncommutative ring R. We introduce the functor PΓP over the category of R-modules and use it to characterize P-semiprime. P-semisecond R-modules also characterized by the functor PΛP.
Teklemichael Bihonegn, Tilahun Abebaw, Nega Arega   +2 more
doaj   +1 more source