JP Journal of Algebra, Number Theory and Applications
Volume 21, Issue 1, Pages 45 - 55
(May 2011)
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A NOTE ON WEAKLY l-KOSZUL MODULES
Chen Pei-Sen
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Abstract: Let ?be an exact sequence of finitely generated graded A-module with M and N being weakly l-Koszul modules, where A is a l-Koszul algebra. If we have ?for all ?then K is also a weakly l-Koszul module, which perfects Lemma 3.1 of [5], where J is the graded Jacobson radical of A. Moreover, some applications of this result are also given. |
Keywords and phrases: l-Koszul algebras, l-Koszul modules, weakly l-Koszul modules. |
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