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Please use this identifier to cite or link to this item: http://hdl.handle.net/1807/9846

Title: Extensions of a dualizing complex by its ring: commutative versions of a conjecture of Tachikawa
Authors: Buchweitz, Ragnar-Olaf
Avramov, Luchezar L.
Sega, Liana M.
Issue Date: 25-Feb-2005
Publisher: Cambridge University Press
Citation: Journal of Pure and Applied Algebra, 201, 218 – 239
Abstract: Let (R,m, k) be a commutative noetherian local ring with dualizing complex DR, normalized by Extdepth(R) R (k,DR) k. Partly motivated by a long standing conjecture of Tachikawa on (not necessarily commutative) k-algebras of finite rank, we conjecture that if Extn R(DR,R) = 0 for all n>0, then R is Gorenstein, and prove this in several significant cases.
URI: http://hdl.handle.net/1807/9846
Appears in Collections:Mathematics

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