On serial Noetherian rings
https://doi.org/10.1080/00927870600860858Publisher, magazine: ,
Publication year: 2006
Lưu Trích dẫn Chia sẻAbstract
It is well known that every serial Noetherian ring satisfies the restricted minimum condition. In particular, following Warfield (1975), such a ring is a direct sum of an Artinian ring and hereditary prime rings. The aim of this note is to show that every serial ring having the restricted minimum condition is Noetherian.
Tags: Artinian module, Hereditary ring, Noetherian module, Serial modules and rings, Uniserial
Các bài viết liên quan đến tác giả Chitlada Somsup
A generalization of Azumaya's theorem on $M$-injective modules