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On radical square zero rings
Let Λ be a connected left artinian ring with radical square zero and with n simple modules. If Λ is not self-injective, then we show that any module M with Exti(M, Λ) = 0 for 1 ≤ i ≤ n + 1 is projective. We also determine the structure of the artin algebras with radical square zero and n simple modu...
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Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Інститут прикладної математики і механіки НАН України
2012
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Series: | Algebra and Discrete Mathematics |
Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/152245 |
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