Turkish Journal of Mathematics
Article Title
DOI
10.3906/mat-0901-29
Abstract
In this paper, we show the following results: (1) R is a min-leftsemicentral ring if and only if eR(1-e)Re=0 for all e \in ME_l(R); (2) Quasi-normal rings, NI rings and weakly reversible rings are all min-leftsemicentral ring; (3) R is left MC2 ring if and only if aRe=0 implies eRa=0 for all e \in ME_l(R) and a \in R if and only if every projective simple left R-module is MUP-injective; (4) R is reduced if and only if R is n-regular and quasi-normal if and only if R is n-regular and weakly reversible; (5) R is strongly regular if and only if R is regular and quasi-normal if and only if R is regular and weakly reversible.
First Page
341
Last Page
353
Recommended Citation
WEI, JUNCHAO and LI, LIBIN
(2011)
"Nilpotent elements and reduced rings,"
Turkish Journal of Mathematics: Vol. 35:
No.
2, Article 15.
https://doi.org/10.3906/mat-0901-29
Available at:
https://journals.tubitak.gov.tr/math/vol35/iss2/15
