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On algebras with radical cube zero

✍ Scribed by Mitsuo Hoshino


Book ID
112496293
Publisher
Springer
Year
1989
Tongue
English
Weight
361 KB
Volume
52
Category
Article
ISSN
0003-889X

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It is shown that, given any left artinian ring \(A\) which has vanishing radical cube and \(n\) isomorphism classes of simple left modules, the global dimension of \(A\) is either infinite or bounded above by \(n^{2}-n\), and the left finitistic dimension of \(A\) is always less than or equal to \(n