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Abstract A right R-module is called R-projective if it is projective relative to the right R-module R R . A ring R is called right testing for projectivity if every… Click to show full abstract
Abstract A right R-module is called R-projective if it is projective relative to the right R-module R R . A ring R is called right testing for projectivity if every right R-projective module is projective. Every right perfect ring is right testing and there are examples of local rings that are not right testing. In this paper an attempt is made to understand the class of right testing rings and several examples are provided to highlight the set theoretic obstacles in characterizing such rings.
Keywords:
testing module;
module projectivity;
module;
right testing;
right
Journal Title: Journal of Algebra
Year Published: 2017
Link to full text (if available)
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Journal Title: Journal of Algebra
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!