Gorenstein dimension of modules over homomorphisms

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dc.creatorChristensen, Lars Winther
dc.creatorIyengar, Srikanth
dc.date2005-04-16
dc.date2005-11-18
dc.date.accessioned2026-07-07T06:39:48Z
dc.date.available2026-07-07T06:39:48Z
dc.descriptionGiven a homomorphism of commutative noetherian rings R --> S and an S-module N, it is proved that the Gorenstein flat dimension of N over R, when finite, may be computed locally over S. When, in addition, the homomorphism is local and N is finitely generated over S, the Gorenstein flat dimension equals sup{m | Tor^R_m(E,N) \noteq 0} where E is the injective hull of the residue field of R. This result is analogous to a theorem of André on flat dimension.
dc.description14 pp. To appear in J. Pure Appl. Algebra. Also available from http://www.math.unl.edu/~lchristensen3/index.html
dc.identifierhttps://arxiv.org/abs/math/0504340
dc.identifierhttp://arxiv.org/abs/math/0504340
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101212
dc.subjectCommutative Algebra
dc.subject13D05, 13D25
dc.titleGorenstein dimension of modules over homomorphisms
dc.typetext

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