Author:
Li Wenxi,Chen Jianlong,Shen Liang
Abstract
Abstract
Let R be a ring. R is called a quasi-Frobenius (QF) ring if R is right artinian and
R
R
is an injective right R-module. In this article, we introduce (weak) fuzzy homomorphisms of modules to obtain a fuzzy characterization of QF rings. We also obtain some fuzzy characterizations of right artinian rings and right CF rings. These results throw new light on the research of QF rings and the related CF conjecture.
MSC:03E72, 16L60.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis