On two-sided <i>α</i>-generalized derivations of 3-prime near-rings

Mouhssine, Samir; Boua, Abdelkarim; El-Soufi, Mahmoud M.

doi:10.1080/00927872.2022.2070758

Search citation statements

Order By: Relevance

Paper Sections

Select...

(αβ) � H(α)h(β) + H(α)β + αH(β)1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2022

2024

Publication Types

Select...

Article2

Relationship

Self Cite0

Independent2

Authors

Journals

Cited by 2 publications

(1 citation statement)

References 7 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Recently, many authors have studied and generalized the concept of homoderivation on diferent types of rings and near rings in several ways, and they also studiedthe properties of rings equipped with homoderivations, see [11,12].…”

Section: (αβ) � H(α)h(β) + H(α)β + αH(β)mentioning

confidence: 99%

Centralizing n‐Homoderivations of Semiprime Rings

El-Sayiad

Ageeb

Ghareeb

2022

Journal of Mathematics

View full text Add to dashboard Cite

We introduce the notion of n -homoderivation on a ring ℜ and show that a semiprime ring ℜ must have a nontrivial central ideal if it admits an appropriate n -homoderivation which is centralizing on some nontrivial one-sided ideal. Under similar hypotheses, we prove commutativity in prime rings.

show abstract

Section: (αβ) � H(α)h(β) + H(α)β + αH(β)mentioning

confidence: 99%