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A note on artinian rings

โœ Scribed by Dinh Van Huynh

Book ID
112499111
Publisher
Springer
Year
1979
Tongue
English
Weight
451 KB
Volume
33
Category
Article
ISSN
0003-889X

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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: ลฝ . 1 R is right artinian with Jacobson radical cube zero if every countably generated right R-module is a dire