[图书][B] Quasi-frobenius rings
WK Nicholson, MF Yousif - 2003 - books.google.com
A ring is called quasi-Frobenius if it is right or left selfinjective, and right or left artinian (all
four combinations are equivalent). The study of these rings grew out of the theory of …
four combinations are equivalent). The study of these rings grew out of the theory of …
[图书][B] Classical Artinian rings and related topics
Y Baba - 2009 - books.google.com
Quasi-Frobenius rings and Nakayama rings were introduced by T Nakayama in 1939. Since
then, these classical artinian rings have continued to fascinate ring theorists with their …
then, these classical artinian rings have continued to fascinate ring theorists with their …
When self-injective rings are QF: a report on a problem
C Faith, D Van Huynh - Journal of Algebra and its Applications, 2002 - World Scientific
Theorems of Osofsky and Kato imply that a right and left self-injective one-sided perfect ring
is quasi-Frobenius (= QF). The corresponding question for one-sided self-injective one or …
is quasi-Frobenius (= QF). The corresponding question for one-sided self-injective one or …
Soc-injective rings and modules
I Amin, M Yousif, N Zeyada - Communications in Algebra®, 2005 - Taylor & Francis
If M and N are right R-modules, M is called Socle-N-injective (Soc-N-injective) if every R-
homomorphism from the socle of N into M extends to N. Equivalently, for every semisimple …
homomorphism from the socle of N into M extends to N. Equivalently, for every semisimple …
FP-injective, simple-injective, and quasi-Frobenius rings
MF Yousif, Y Zhou - 2004 - Taylor & Francis
Motivated by a result of Mochizuki [Mochizuki, H.(1965). Finitistic global dimension for rings.
Pacific J. Math. 15 (1): 249–258] that, for a left perfect ring R with Jacobson radical if and …
Pacific J. Math. 15 (1): 249–258] that, for a left perfect ring R with Jacobson radical if and …
Generalized Jordan derivations
A Nakajima - International Symposium on ring theory, 2001 - Springer
We define a notion of generalized Jordan (resp. Lie) derivations and give some elementary
properties of generalized Jordan (resp. Lie) derivations. These categorical results …
properties of generalized Jordan (resp. Lie) derivations. These categorical results …
C3-Modules
Shahabaddin Ebrahimi Atani, Mehdi Khoramdel, Saboura Dolati Pish Hesari C3-MODULES
Communicated by A. Romanowska 1. Introduction Page 1 DEMONSTRATIO MATHEMATICA …
Communicated by A. Romanowska 1. Introduction Page 1 DEMONSTRATIO MATHEMATICA …
Extensions of simple-injective rings
WK Nicholson, JK Park, MF Yousif - Communications in Algebra, 2000 - Taylor & Francis
A ring R is called right simple-injective if every itMinear map with simple image from a right
ideal to R can be extended to R. We characterize when matrix rings, upper triangular matrix …
ideal to R can be extended to R. We characterize when matrix rings, upper triangular matrix …
环论中Faith 三大猜测的进展
陈建龙， 李文喜 - 东南大学学报: 自然科学版, 2002 - cqvip.com
环论中Faith 三大猜测(FGF 猜测, Faith-Menal 猜测和Faith 猜测) 是指右F GF-环, 强右Johns
环以及左完全右内射环均为QF 环. 其中R 是右FGF-环指任一个有限生成右R …
环以及左完全右内射环均为QF 环. 其中R 是右FGF-环指任一个有限生成右R …
On quasi-Frobenius rings
WK Nicholson, MF Yousif - International Symposium on Ring Theory, 2001 - Springer
There are three outstanding conjectures about quasi-Frobenius rings: The Faith conjecture
that every left perfect, right selfinjective ring is quasi-Frobenius; The FGF-conjecture that …
that every left perfect, right selfinjective ring is quasi-Frobenius; The FGF-conjecture that …