On w-Neat Rings‎

Autor: Fatemeh Rashedi
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Mathematics Interdisciplinary Research, Vol 8, Iss 1, Pp 65-70 (2023)
Druh dokumentu: article
ISSN: 2476-4965
DOI: 10.22052/mir.2022.248393.1375
Popis: ‎In this paper‎, ‎we offer a new generalization of the neat ring that is called a w-neat ring‎. ‎A ring $ R $ is said to be weakly clean if every $ r\in R $ can be written as $ r=u+e $ or $ r=u-e $ where $ u\in‎$ U$(R) $ and $ e\in‎$ I‎‏d$‎(R) $‎. ‎We define a w-neat ring to be one for which every proper homomorphic image is weakly clean‎.‎We obtain some properties of w-neat rings‎.
Databáze: Directory of Open Access Journals