A note on semiprime right Goldie rings
https://doi.org/10.1080/00927872.2016.1233211Publisher, magazine: ,
Publication year: 2017
Lưu Trích dẫn Chia sẻAbstract
It is shown that a ring R is semiprime right Goldie if and only if R is right nonsingular and every nonsingular right R-module M has a direct decomposition M = I⊕N, where I is injective and N is a reduced module such that N does not contain any extending submodule of infinite Goldie dimension.
Tags: Extending, Goldie dimension, injective, nonsingular, quasi-injective, reduced, semisimple right Goldie rings
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