Abstract
It is well-known that every quasi-p-injective module has C2-condition. In this note, it is shown that for a quasi-p-injective module M which is a self-generator, if M is projective, duo and semiperfect, then M is continuous. As a special case we re-obtain a result of Puninski-Wisbauer-Yousif saying that, a semiperfect ring R is right continuous if it is right duo, right p-injective.
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AMS Subject Classifications (1991): 16D50, 16D70, 16D80
Supported by The Royal Golden Jubilee Project
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Chotchaisthit, S. When is a Quasi-p-injective Module Continuous?. SEA bull. math. 26, 391–394 (2003). https://doi.org/10.1007/s10012-002-0391-3
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DOI: https://doi.org/10.1007/s10012-002-0391-3