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On Pseudo-Frobenius Rings

Published online by Cambridge University Press:  20 November 2018

Mohamed F. Yousif ,
Yiqiang Zhou  and
Nasr Zeyada
Mohamed F. Yousif
Affiliation:
Department of Mathematics, Ohio State University, Lima, OH 45804, U.S.A., andThe American University in Cairo, Egypt e-mail: yousif.1@osu.edu
Yiqiang Zhou
Affiliation:
Department of Mathematics and Statistics, Memorial University of Newfoundland, St.John’s, Newfoundland, A1C 5S7 e-mail: zhou@math.mun.ca
Nasr Zeyada
Affiliation:
Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt
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Abstract

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It is proved here that a ring $R$ is right pseudo-Frobenius if and only if $R$ is a right Kasch ring such that the second right singular ideal is injective.

Keywords

16D5016L60
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 48 , Issue 2 , 01 June 2005 , pp. 317 - 320
Copyright
Copyright © Canadian Mathematical Society 2005

References

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