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When Is a Simple Ring Noetherian?

✍ Scribed by Dinh Van Huynh; S.K. Jain; S.R. López-Permouth

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
128 KB
Volume
184
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

✦ Synopsis

A module M is known to be a CS-module or an extending module if every Ž . complement submodule of M is a direct summand. It is shown that i a simple ring R must be right noetherian if every cyclic singular right R-module is CS, and Ž .

ii over a simple ring R if every proper cyclic right module is quasi-injective, then R is right hereditary and right noetherian.

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