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On the cardinality of ideals in artinian rings

✍ Scribed by Dinh van Huynh; Nguyen V. Dung

Book ID: 112497871
Publisher: Springer
Year: 1988
Tongue: English
Weight: 274 KB
Volume: 51
Category: Article
ISSN: 0003-889X
DOI: 10.1007/bf01207473

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A module M is called a CS-module if every submodule of M is essential in a direct summand of M. A ring R is called CS-semisimple if every right R-module is CS. For a ring R, we show that: Ž . 1 R is right artinian with Jacobson radical cube zero if every countably generated right R-module is a dire