Results 101 to 110 of about 1,169,182 (223)

A note on semiprime rings with derivation

International Journal of Mathematics and Mathematical Sciences, 1997
Let R be a 2-torsion free semiprime ring, I a nonzero ideal of R, Z the center of R and D:R→R a derivation. If d[x,y]+[x,y]∈Z or d[x,y]−[x,y]∈Z for all x, y∈I, then R is commutative.
Motoshi Hongan
doaj   +1 more source

On functional identities involving n-derivations in rings [PDF]

Journal of Mahani Mathematical Research
In this paper, we explore various properties associated with the traces of permuting $n$-derivations satisfying certain functional identities that operate on a Lie ideal within prime and semiprime rings.
Vaishali Varshney, Shakir Ali, Naira Noor Rafiquee, Kok Wong   +3 more
doaj   +1 more source

SYMMETRY OF EXTENDING PROPERTIES IN NONSINGULAR UTUMI RINGS [PDF]

Surveys in Mathematics and its Applications, 2020
his paper presents the right-left symmetry of the CS and max-min CS conditions on nonsingular rings, and generalization to nonsingular modules. We prove that a ring is right nonsingular right CS and left Utumi if and only if it is left nonsingular left ...
Truong Dinh Tu, Hai Dinh Hoang, Thuat Do
doaj  

Fuzzy bipolar soft semiprime ideals in ordered semigroups. [PDF]

Heliyon, 2021
Aziz-Ul-Hakim, Khan H, Ahmad I, Khan A.
europepmc   +1 more source

(,)- Strongly Derivations Pairs on Rings

Ibn Al-Haitham Journal for Pure and Applied Sciences, 2016
        Let R be an associative ring. In this paper we present the definition of (s,t)- Strongly derivation pair and Jordan (s,t)- strongly derivation pair on a ring R, and study the relation between them.
I. A. Saed
doaj  

The X-semiprimeness of rings

Journal of Algebra and Its Applications
For a nonempty subset [Formula: see text] of a ring [Formula: see text], the ring [Formula: see text] is called [Formula: see text]-semiprime if, given [Formula: see text], [Formula: see text] implies [Formula: see text]. This provides a proper class of semiprime rings. First, we clarify the relationship between idempotent semiprime and unit-semiprime
Grigore Călugăreanu, Tsiu-Kwen Lee, Jerzy Matczuk   +2 more
openaire   +2 more sources

Jordan mappings of semiprime rings II [PDF]

Bulletin of the Australian Mathematical Society, 1991
We describe Jordan homomorphisms and Jordan triple homomorphisms onto 2-torsion free semiprime rings in which the annihilator of any ideal is a direct summand.
openaire   +1 more source

Module Extensions Over Classical Lie Superalgebras

, 1998
We study certain filtrations of indecomposable injective modules over classical Lie superalgebras, applying a general approach for noetherian rings developed by Brown, Jategaonkar, Lenagan, and Warfield.
Letzter, E. S.
core   +3 more sources

A NOTE ON GENERALIZED DERIVATIONS OF SEMIPRIME RINGS [PDF]

, 2007
Joso Vukman
openalex   +1 more source

On prime and semiprime near-rings with derivations

International Journal of Mathematics and Mathematical Sciences, 1997
Let N be a semiprime right near-ring, A a subset of N such that 0∈A and AN⫅A, and d a derivation of N The purpose of this paper is to prove that if d acts as a homomorphism on A or as an anti-homomorphism on A, then d(A)={0}.
Nurcan Argaç
doaj   +1 more source