FP-rings

[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 …

被引用次数：446 相关文章所有 4 个版本

[PDF] researchgate.net

Morphic modules

WK Nicholson, ES Campos - Communications in Algebra, 2005 - Taylor & Francis

A module M is called morphic if M/M α≅ ker (α) for all endomorphisms α in end (M), and a
ring R is called a left morphic ring if RR is a morphic module. We consider the open question …

被引用次数：72 相关文章所有 2 个版本

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 …

被引用次数：77 相关文章所有 6 个版本

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 …

被引用次数：28 相关文章

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 …

被引用次数：5 相关文章所有 3 个版本

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 …

被引用次数：20 相关文章所有 2 个版本

弱内射模与弱内射维数

张龙 - 河海大学学报: 自然科学版, 2003 - cqvip.com

被引用次数：4 相关文章所有 3 个版本

On generalizations of PF-rings

J Chen, N Ding, MF Yousif - Communications in Algebra, 2004 - Taylor & Francis

A ring R is called a right WPF-ring (weak PF-ring) if R is a semiperfect right simple-injective
ring with essential right socle. The class of right WPF-rings is broader than that of right PF …

被引用次数：8 相关文章

DS 环的Morita invariant 性

成涛 - 扬州大学学报: 自然科学版, 2002 - cqvip.com

证明了关于左DS 环的几个结果: 1) 若对R 的中心幂等元e, 有eRe 和(1-e) R (1-e) 都是左DS 环,
则R 是左DS 环; 2) R 是左DS 环当且仅当全矩阵环Mn (R) 是左DS 环; 3) 左DS 环是Morita …

被引用次数：1 相关文章所有 3 个版本

FP-small 内射性与J-内射性

向跃明，王树桂 - 杭州师范大学学报: 自然科学版, 2013 - cqvip.com