Regularly weakly based modules over right perfect rings and Dedekind domains |
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| Authors: | Michal Hrbek Pavel Růžička |
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| Institution: | 1.Department of Algebra, Faculty of Mathematics and Physics,Charles University,Praha,Czech Republic |
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| Abstract: | 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 - (1)
rings over which all modules are regularly weakly based, refining results of Nashier and Nichols, and - (2)
regularly weakly based modules over Dedekind domains.
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