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¡¾ÇóÖú¡¿Çë½ÌÈý¸öÎÊÌâ 1 Assume that $A$ is a finite dimensional $K$-algebra£¬and $M$ a finitely generated indecomposable module, then the socle $socM $ of $M$ is simple£¬why? 2 Assume that $A$ is a finite dimensional $K$-algebra£¬and $M$ a finitely generated module, is the injective envelope of $M$ finitely generated? why? 3 Assume that $A$ is a finite dimensional $K$-algebra£¬and $M$ a finitely generated indecomposable module, is the injective envelope of $M$ indecomposable? why? [ Last edited by xuaimin88888 on 2012-10-23 at 16:17 ] |
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