Local rings with quasi-decomposable maximal ideal
نویسندگان
چکیده
منابع مشابه
Modules of G-dimension zero over local rings with the cube of maximal ideal being zero
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...
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ژورنال
عنوان ژورنال: Mathematical Proceedings of the Cambridge Philosophical Society
سال: 2018
ISSN: 0305-0041,1469-8064
DOI: 10.1017/s0305004118000695