Results 21 to 30 of about 65 (46)

Lie right ideals and homoderivations in 3-Prime Near-Ring

Boletim da Sociedade Paranaense de Matemática
In this article, we study the structure of a near-rings N involving a homoderivations satisfying certain constraints on a nonzero Lie right ideal of near ...
Abdelkarim Boua, Oznur Golbasi, Samir Mouhssine   +2 more
openaire   +2 more sources

On n-anti-homoderivations of Prime and Semiprime Rings

European Journal of Pure and Applied Mathematics
We present the notion of $n$-anti-homoderivations, a novel class of additive mappings on rings. Within this framework, we establish strong necessary conditions for rings' commutativity and the presence of nontrivial central ideals. Our approach not only generalizes several classical results as special cases, but also  addresses open problems concerning
M. S. Tammam El-Sayiad, Munerah Almulhem, Mahmoud M. El-Soufi   +2 more
openaire   +1 more source

SEMIPRIME IDEALS AND P−COMMUTING HOMODERIVATIONS ON IDEALS

Facta Universitatis, Series: Mathematics and Informatics
The first purpose of this article is to examine the structure of an S=Pquotient ring, where S is any ring and P is the semiprime ideal of S. More specifically,we look at differential identities in the semiprime ideal of an arbitrary ring using theP-commuting homoderivations.
openaire   +2 more sources

Characterization of the center of a prime Banach algebra by its homoderivations

Boletim da Sociedade Paranaense de Matemática
Let X be a Banach algebra. The value of the present article focuses on the fact that, first, it presents detailed informations about zero-power valued maps on X ,second, it provides characterization to the center of X via its homoderivations. Finally, we include some examples to show that various restrictions in the hypothesis of our theorems are not ...
Mohamed Moumen, Lahcen Taoufiq
openaire   +1 more source

Homoderivations in rings

Fen Bilimleri Enstitüsü, Matematik Ana Bilim DalıBu tez çalışmasında ?? karakteristiği ikiden farklı bir asal halka, ??, ?? halkasının merkezi olmayan kare kapalı bir Lie ideali ve ??: ?? ? ?? tanımlı ??
Sarıkaya, Ayşen
core  

Commutativity criteria for 3-prime near-rings via zero-power valued homoderivations

Boletim da Sociedade Paranaense de Matemática
In this work, we discuss the commutativity of a 3-prime near-ring N that satisfies some algebraic identities under the action of a homoderivation. Additionally, we provide examples to illustrate that the 3- primeness and zero-power valued conditions imposed in our theorems are essential and cannot be disregarded.
Slimane El Amrani, Abderrahmane Raji
openaire   +1 more source

The commutativity of prime rings with homoderivations

International Journal of ADVANCED AND APPLIED SCIENCES, 2018
E. F. Alharfie, N. M. Muthana
openaire   +1 more source

Quotient near-rings involving P -homoderivations

Annals of the Alexandru Ioan Cuza University - Mathematics
Let N be a near-ring and P be a 3-prime ideal of N . This paper introduces a novel concept known as P-homoderivation and investigates the commutativity of the quotient near-ring N /P when N has a P-homoderivation satisfying certain distinction identities. In addition, we extend several known results related to 3-prime near-rings with homoderivations.
openaire   +1 more source

A study of homoderivations in 3-prime near-rings with centralizing constraints

Algebra and Discrete Mathematics
Slimane El Amrani, Abderrahmane Raji
openaire   +1 more source

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On n-Jordan homoderivations in rings

Georgian Mathematical Journal, 2023
Abstract Let R be a ring and let n ≥ 1 {n\geq 1}
Said Belkadi, Shakir Ali, Lahcen Taoufiq
openaire   +1 more source