Results 101 to 110 of about 1,169,182 (223)
A note on semiprime rings with derivation
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]
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 +3 more
doaj +1 more source
SYMMETRY OF EXTENDING PROPERTIES IN NONSINGULAR UTUMI RINGS [PDF]
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]
Aziz-Ul-Hakim, Khan H, Ahmad I, Khan A.
europepmc +1 more source
(ï³,ï´)- Strongly Derivations Pairs on Rings
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
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 +2 more
openaire +2 more sources
Jordan mappings of semiprime rings II [PDF]
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
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]
Joso Vukman
openalex +1 more source
On prime and semiprime near-rings with derivations
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

