Modules of G-dimension zero over local rings with the cube of maximal ideal being zero

نویسنده

  • Yuji Yoshino
چکیده

Let (R,m) be a commutative Noetherian local ring with m = (0). We give a condition for R to have a non-free module of G-dimension zero. We shall also construct a family of non-isomorphic indecomposable modules of G-dimension zero with parameters in an open subset of projective space. We shall finally show that the subcategory consisting of modules of G-dimension zero over R is not necessarily a contravariantly finite subcategory in the category of finitely generated R-modules.

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تاریخ انتشار 2008