Results 71 to 80 of about 1,169,182 (223)

Remarks on derivations on semiprime rings

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1992
We prove that a semiprime ring R must be commutative if it admits a derivation d such that (i) xy+d(xy)=yx+d(yx) for all x, y in R, or (ii) xy−d(xy)=yx−d(yx) for all x, y in R.
Mohamad Nagy Daif, Howard E. Bell
doaj   +1 more source

ON GENERALIZED ERIVATIONS OF SEMIPRIME NEAR-RINGS

open access: yesJournal of Kufa for Mathematics and Computer, 2012
The  main purpose of this paper is to study and investigate concerning a generalized derivations on semiprime  near- rings,we give some results when N admsit to satisfy some conditions on 3-semiprime  near- rings and 3-prime near-ring N ,we give some
Mehsin Jabel Atteya   +1 more
doaj   +1 more source

Endomorphism rings of modules over prime rings [PDF]

open access: yes, 2012
Endomorphism rings of modules appear as the center of a ring, as the fix ring of ring with group action or as the subring of constants of a derivation. This note discusses the question whether certain *-prime modules (introduced by Bican et al.) have a ...
Baziar, Mohammad, Lomp, Christian
core  

The annihilating-submodule graph of modules over commutative rings

open access: yes, 2016
Let M be a module over a commutative ring R. In this paper, we continue our study of annihilating-submodule graph AG(M) which was introduced in (The Zariski topology-graph of modules over commutative rings, Comm. Algebra., 42 (2014), 3283{3296). AG(M) is
Ansari-Toroghy, Habibollah   +1 more
core   +2 more sources

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

open access: yesMiskolc Mathematical Notes, 2012
WOS ...
Koc, Emine, Golbasi, Oznur
openaire   +3 more sources

A Study of Generalized Differential Identities via Prime Ideals

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
Let R be a ring and P be a prime ideal of R. The aim of this research paper is to delve into the relationship between the structural properties of the quotient ring R/P and the behavior of generalized derivations in a ring R endowed with an involution.
Ali Yahya Hummdi   +4 more
wiley   +1 more source

Jordan superderivations. II

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2004
In a recent paper we have extended the classical Herstein's theorem on Jordan derivations on prime rings to Jordan superderivations on prime associative superalgebras. In the present paper we extend this result to semiprime associative superalgebras.
Maja Fošner
doaj   +1 more source

Modules With Epimorphisms Between Their Submodules

open access: yesJournal 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

Jordan ?-Centralizers of Prime and Semiprime Rings

open access: yesمجلة بغداد للعلوم, 2010
The purpose of this paper is to prove the following result: Let R be a 2-torsion free ring and T: R?R an additive mapping such that T is left (right) Jordan ?-centralizers on R.
Baghdad Science Journal
doaj   +1 more source

Modules over strongly semiprime rings

open access: yesDiscrete 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

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