In:
MATHEMATICA SCANDINAVICA, Det Kgl. Bibliotek/Royal Danish Library, Vol. 93, No. 2 ( 2003-12-01), p. 161-
Abstract:
We investigate symmetry in the vanishing of Ext for finitely generated modules over local Gorenstein rings. In particular, we define a class of local Gorenstein rings, which we call AB rings, and show that for finitely generated modules $M$ and $N$ over an AB ring $R$, $\mathrm{Ext}^i_R(M,N)=0$ for all $i\gg 0$ if and only if $\mathrm{Ext}^i_R(N,M)=0$ for all $i\gg 0$.
Type of Medium:
Online Resource
ISSN:
1903-1807
,
0025-5521
DOI:
10.7146/math.scand.a-14418
Language:
Unknown
Publisher:
Det Kgl. Bibliotek/Royal Danish Library
Publication Date:
2003
detail.hit.zdb_id:
206411-X
detail.hit.zdb_id:
2858405-3
SSG:
17,1
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