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A Simple Ring over which Proper Cyclics are Continuous is a PCI-Ring

Published online by Cambridge University Press:  20 November 2018

S. Barthwal ,
S. Jhingan  and
P. Kanwar
S. Barthwal
Affiliation:
Mathematics Department Ohio University Athens, Ohio 45701 U.S.A., e-mail: sbarthwa@ace.cs.ohiou.edu
S. Jhingan
Affiliation:
Mathematics Department Ohio University Athens, Ohio 45701 U.S.A., e-mail: sjhingan@ace.cs.ohiou.edu
P. Kanwar
Affiliation:
Mathematics Department Ohio University Athens, Ohio 45701 U.S.A., e-mail: pkanwar@ace.cs.ohiou.edu
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Abstract

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It is shown that simple rings over which proper cyclic right modules are continuous coincide with simple right PCI-rings, introduced by Faith.

Keywords

16D5016D70Simple ringsPCI-ringsPCQI-ringscontinuous modulesquasi-continuous modules
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 41 , Issue 3 , 01 September 1998 , pp. 261 - 266
Copyright
Copyright © Canadian Mathematical Society 1998

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