Results 81 to 90 of about 297,264 (123)

(,)- 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  

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 Centralizing and Strong Commutativity Preserving Maps of Semiprime Rings

, 2015
We study some properties of centralizing and strong commutativity preserving maps of semiprime ...
Huang, Sh., Golbasi, ÖZNUR, Koc, EMİNE
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The Connection Between Jordan Derivations and Nilpotent Derivations on 2-Torsion-Free Semiprime Rings

Jambura Journal of Mathematics
Let R be a ring. A derivation on a ring is an additive map that satisfies the Leibniz rule d(ab) = d(a)b + ad(b), for every a, b ∈ R. A derivation d on a ring R is called a nilpotent derivation if there exists a natural number n such that dⁿ(R) = 0. This
Rahmah Mutiara Ayu Ningtiyas, Fitriani Fitriani, Ahmad Faisol   +2 more
doaj   +1 more source

Centralizing Mappings of Semiprime Rings

, 1987
Let R be a ring with center Z, and S a nonempty subset of R. A mapping F from R to R is called centralizing on S if [x, F(x)] ∊ Z for all x ∊ S. We show that a semiprime ring R must have a nontrivial central ideal if it admits an appropriate endomorphism
W. S. Martindale, H. E. Bell
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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

Results concerning symmetric generalized biderivations of prime and semiprime rings

, 2014
The purpose of this paper is to prove some results concerning symmetric biderivations and symmetric generalized biderivations on prime and semiprime rings which partially extend some results contained in Vukman, J., Symmetric biderivations on prime and ...
F. Shujat, DE FILIPPIS, Vincenzo, A. Ali
core  

Lie Ideals and Homoderivations in Semiprime Rings

Mathematics
Let S be a 2-torsion free semiprime ring and U be a noncentral square-closed Lie ideal of S. An additive mapping ℏ on S is defined as a homoderivation if ℏ(ab)=ℏ(a)ℏ(b)+ℏ(a)b+aℏ(a) for all a,b∈S. In the present paper, we shall prove that ℏ is a commuting
Ali Yahya Hummdi, Zeliha Bedir, Emine Koç Sögütcü, Öznur Gölbaşı, Nadeem ur Rehman   +4 more
doaj   +1 more source

Jordan derivations on semiprime rings

, 1988
I. N. Herstein has proved that any Jordan derivation on a 2 2 -torsion free prime ring is a derivation. In this paper we prove that Herstein’s result is true in 2 2 -torsion free semiprime rings.
M. Brešar
core   +1 more source

On Commutativity of Semiprime Rings with Multiplicative (Generalized)-derivations

, 2017
The aim of this paper is to explore the commutativity of semiprime rings admitting multiplicative (generalized)-derivations and satisfy certain hypotheses on appropriate subsets.
Gurninder S. Sandhu, Deepak Kumar
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