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Regularly weakly based modules over right perfect rings and Dedekind domains
Czechoslovak Mathematical Journal, Tome 67 (2017) no. 2, pp. 367-377 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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 \endgraf (1) rings over which all modules are regularly weakly based, refining results of Nashier and Nichols, and \endgraf (2) regularly weakly based modules over Dedekind domains.
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 \endgraf (1) rings over which all modules are regularly weakly based, refining results of Nashier and Nichols, and \endgraf (2) regularly weakly based modules over Dedekind domains.
DOI : 10.21136/CMJ.2017.0632-15
Classification : 13C05, 13F05, 16L30
Keywords: weak basis; regularly weakly based ring; Dedekind domain; perfect ring 
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Hrbek, Michal; Růžička, Pavel. Regularly weakly based modules over right perfect rings and Dedekind domains. Czechoslovak Mathematical Journal, Tome 67 (2017) no. 2, pp. 367-377. doi: 10.21136/CMJ.2017.0632-15

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