Regularly weakly based modules over right perfect rings and Dedekind domains

Czechoslovak Mathematical Journal

Michal Hrbek, Pavel Růžička¹ 

关键词: weak basis;    regularly weakly based ring;    Dedekind domain;    perfect ring;   

DOI  :  10.21136/CMJ.2017.0632-15

学科分类：数学（综合）

来源: Akademie Ved Ceske Republiky

【 摘 要 】

  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.

【 授权许可】

Unknown