On perfect simple-injective rings

W Nicholson, M Yousif - Proceedings of the American Mathematical …, 1997 - ams.org
… In this paper we show that every left perfect, left and right simple-injective ring is quasi-… on
self-injective rings. It is also shown that if R is left perfect and right simple-injective, then R is …

FP-injective, simple-injective, and quasi-Frobenius rings

MF Yousif, Y Zhou - 2004 - Taylor & Francis
… (1):249–258] that, for a left perfect ring R with Jacobson radical if and only if R is right … rings,
right FP-injective rings and right simple-injective rings are extended to larger classes of rings. …

[PDF][PDF] On small injective, simple-injective and quasi-Frobenius rings.

LV Thuyet, TC Quynh - Acta Mathematica Universitatis Comenianae. New …, 2009 - eudml.org
… Furthermore comma we prove that if R is a right perfect comma right simple hyphen inj
ective and left pseudo hyphen coherent ring comma then R is QF period Some known results …

Strongly simple-injective rings and modules

I Amin, Y Fathi, M Yousif - Algebra Colloquium, 2008 - World Scientific
… Furthermore, it is shown that every left perfect strongly right simple-injective ring is right self-…
left perfect right simple-injective rings are right self-injective. We also prove that a ring R is …

[PDF][PDF] Injective pairs in perfect rings

M Hoshino, T Sumioka - 1998 - projecteuclid.org
… above to perfect rings. Following Harada [4], we call a module LA M-simple-injective if for …
idempotent e in a left perfect ring A, we will show that eA^ is A-simple-injective if and only if …

Principally small injective rings

Y Xiang - Kyungpook Mathematical Journal, 2011 - koreascience.kr
… We extend their results from a right P-injective ring to a right PS-injective ring. If R is … It is
shown that being a right PS-injective ring is not a Morita invariant. A ring R is a right GP F ring [7] …

On a Generalization of injective Rings

J Chen, N Ding, MF Yousif - Communications in Algebra, 2003 - Taylor & Francis
ring need not be self-injective and a right IP-injective ring is … if R is left perfect, left GIN and
right simple-injective then R is … that a left perfect, left and right self-injective ring is a QF ring (…

Small injective rings

L Shen, J Chen - arXiv preprint math/0505445, 2005 - arxiv.org
… A ring R is called right simple injective (right simple J-injective) if for any homomorphism
from a right ideal (small right ideal) of R to RR with simple image can be extended from RR to …

[PDF][PDF] A GENERALIZATION OF SIMPLE-INJECTIVE RINGS

Z Zhanmin - International Electronic Journal of Algebra, 2019 - dergipark.org.tr
rings and right 2-simple injective rings to 2-simple J-injective rings, some properties of this
class of rings … which 2-simple J-injective rings are QF-rings are given, many of them extending …

On continuous rings

MF Yousif - Journal of Algebra, 1997 - Elsevier
… According to Harada 12 , a ring R is called right simple-injective if every R-homomorphism
from a right ideal of R into R with simple image is given by left multiplication by an element of …