Results 91 to 100 of about 2,376 (151)

A Commutativity theorem for semiprime rings [PDF]

Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1980
AbstractIt is shown that if R is a semiprime ring with 1 satisfying the property that, for each x, y ∈ R, there exists a positive integer n depending on x and y such that (xy)k − xkyk is central for k = n,n+1, n+2, then R is commutative, thus generalizing a result of Kaya.
openaire   +2 more sources

On Jordan Triple α-*Centralizers Of Semiprime Rings

Demonstratio Mathematica, 2014
Let R be a 2-torsion free semiprime ring equipped with an involution *. An additive mapping T : R→R is called a left (resp. right) Jordan α-*centralizer associated with a function α: R→R if T(x2)=T(x)α(x*) (resp. T(x2)=α(x*)T(x)) holds for all x ∊ R.
Ashraf Mohammad, Mozumder Muzibur Rahman, Khan Almas   +2 more
doaj   +1 more source

Hyperideal theory in ordered Krasner hyperrings

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
In this paper, we study some properties of ordered Krasner hyper-rings. Also we state some definitions and basic facts and prove some results on ordered Krasner hyperring (R, +, ·, ≤).
Omidi Saber, Davvaz Bijan
doaj   +1 more source

On commutativity of prime and semiprime rings with generalized derivations

Ratio Mathematica, 2020
Let $R$ be a prime ring, extended centroid $C$ and $m, n, k \geq1$ are fixed integers. If $R$ admits a generalized derivation $F$ associated with a derivation $d$ such that $(F(x)\circ y)^{m}+(x\circ d(y))^{n}=0$ or $(F(x)\circ_{m} y)^{k} + x\circ_{n} d ...
MD Hamidur Rahaman
doaj   +1 more source

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

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  

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

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