On radical square zero rings
Vernadsky National Library of Ukraine
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Title |
On radical square zero rings
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Creator |
Ringel, C.M.
Xiong, B.-L. |
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Description |
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 modules which have a non-projective module M such that Exti(M, Λ) = 0 for 1 ≤ i ≤ n.
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Date |
2019-06-09T06:14:14Z
2019-06-09T06:14:14Z 2012 |
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Type |
Article
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Identifier |
On radical square zero rings / C.M. Ringel, B.-L. Xiong // Algebra and Discrete Mathematics. — 2012. — Vol. 14, № 2. — С. 297–306. — Бібліогр.: 4 назв. — англ.
1726-3255 2010 MSC:16D90, 16G10; 16G70. http://dspace.nbuv.gov.ua/handle/123456789/152245 |
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Language |
en
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Relation |
Algebra and Discrete Mathematics
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Publisher |
Інститут прикладної математики і механіки НАН України
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