2 citations · 2 across the 4 of their papers we have counts for
6 papers
weakly -closed ideals and -von Neumann regular rings
David F. Anderson, Ayman Badawi, Brahim Fahid
Let R be a commutative ring with identity. In this paper, we introduce the concept of (m, n)-closed ideals of R and (m, n)-von Neumann regular rings
f-Biderivations and Jordan biderivations of unital algebras with idempotents
Mohammad Ali Bahmani, Driss Bennis, Hamid Reza Ebrahimi Vishki +1
The notion of f-derivations was introduced by Beidar and Fong to unify several kinds of linear maps including derivations, Lie derivations and Jordan derivations. In this paper we…
On Generalized -Jordan Derivations and Centralizers of Semiprime Rings
Driss Bennis, Basudeb Dhara, Brahim Fahid
In this paper we give an affirmative answer to two conjectures on generalized -Jordan derivations and generalized -Jordan centralizers raised in [S. Ali and A. Fošner…
Dhara-Rehman-Raza's identities on left ideals of prime rings
Driss Bennis, Brahim Fahid, Abdellah Mamouni
It is known that every nonzero Jordan ideal of -torsion free semiprime rings contains a nonzero ideal. In this paper we show that also any square closed Lie ideal of a -torsi…
Derivations and the first cohomology group of trivial extension algebras
Driss Bennis, Brahim Fahid
In this paper we investigate in details derivations on trivial extension algebras. We obtain generalizations of both known results on derivations on triangular matrix algebras and…
On n-Trivial Extensions of Rings
D. D. Anderson, Driss Bennis, Brahim Fahid +1
The notion of trivial extension of a ring by a module has been extensively studied and used in ring theory as well as in various other areas of research like cohomology theory, rep…