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Gorenstein Dimension of Modules Over Homomorphisms by Lars Winther Christensen; Srikanth Iyengar is a Mathematics article available to read on EtoBox.

What is Gorenstein Dimension of Modules Over Homomorphisms about?

Given 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 , where E is the injective hull of the residue field of R. This result is analogous to a theorem of André on flat dimension.

Who reads Gorenstein Dimension of Modules Over Homomorphisms?

Author

Lars Winther Christensen; Srikanth Iyengar

Publisher

Elsevier Science; Elsevier ; Elsevier BV (ISSN 0022-4049)

Published

2007

Language

EN

Field

Mathematics (Physical Sciences)