Regularly weakly based modules over right perfect rings and Dedekind domains
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A weak basis of a module is a generating set of the module minimal with respect to inclusion. A module is said to be regularly weakly based provided that each of its generating sets contains a weak basis. We study
rings over which all modules are regularly weakly based, refining results of Nashier and Nichols, and
regularly weakly based modules over Dedekind domains.
Keywordsweak basis regularly weakly based ring Dedekind domain perfect ring
MSC 201013C05 13F05 16L30
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