Nonvanishing cohomology and classes of Gorenstein rings
نویسندگان
چکیده
منابع مشابه
Vanishing of Cohomology over Gorenstein Rings of Small Codimension
We prove that if M , N are finite modules over a Gorenstein local ring R of codimension at most 4, then the vanishing of Ext R (M,N) for n ≫ 0 is equivalent to the vanishing of Ext R (N,M) for n ≫ 0. Furthermore, if b R has no embedded deformation, then such vanishing occurs if and only if M or N has finite projective dimension.
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2004
ISSN: 0001-8708
DOI: 10.1016/j.aim.2003.11.003