A fuzzy characterization of QF rings

Wenxi Li Department of Mathematics and Physics, Anhui University of Technology Jianlong Chen Department of Mathematics, Southeast University Liang Shen Department of Mathematics, Southeast University

Rings and Algebras mathscidoc:1612.31002

Journal of Inequalities and Applications, 184, (1), 2014
Let R be a ring. R is called a quasi-Frobenius (QF) ring if R is right artinian and RR 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.
fuzzy homomorphisms; weak fuzzy homomorphisms; artinian rings; QF
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@inproceedings{wenxi2014a,
  title={A fuzzy characterization of QF rings},
  author={Wenxi Li, Jianlong Chen, and Liang Shen},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20161227204704207473698},
  booktitle={Journal of Inequalities and Applications},
  volume={184},
  number={1},
  year={2014},
}
Wenxi Li, Jianlong Chen, and Liang Shen. A fuzzy characterization of QF rings. 2014. Vol. 184. In Journal of Inequalities and Applications. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20161227204704207473698.
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