East Asian mathematical journal
- Volume 19 Issue 2
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- Pages.251-259
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- 2003
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- 1226-6973(pISSN)
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- 2287-2833(eISSN)
ON MAXIMAL PRERADICAL RATIONAL EXTENSIONS
Abstract
The concepts of t-rational extensions and t-essential extensions of modules, where t a preradical for R-Mod, are introduced. The structures of such extensions are determined. Relations between maximal t-rational extensions and other concepts of modules are studied.
Keywords
- t-rational extensions;
- t-rational submodules;
- t-essential extensions;
- t-essential submodules;
- maximal t-rational extensions