Projective Summands of Not Singular Modules
نویسندگان
چکیده
منابع مشابه
Syzygy Modules with Semidualizing or G-projective Summands
Let R be a commutative Noetherian local ring with residue class field k. In this paper, we mainly investigate direct summands of the syzygy modules of k. We prove that R is regular if and only if some syzygy module of k has a semidualizing summand. After that, we consider whether R is Gorenstein if and only if some syzygy module of k has a G-projective summand.
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 1992
ISSN: 0035-7596
DOI: 10.1216/rmjm/1181072670