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Title:On Descent in Dimension Two and Non-Split Gorenstein Modules (Algebra, Commutative)
Author(s):Weston, Dana Temer
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Mathematics
Abstract:We show that the question of the decomposition of Gorenstein modules over normal domains can be reduced to the same question over normal domains of low dimension (that is, dimension four or less).
It is proven that q copies of a finitely generated, torsion free module over a normal domain with Krull dimension two descend, if the order of the module in the divisor class group of the ring divides q.
Finally, we give an example of a ring with Gorenstein formal fibres, but with no dualizing complex.
Issue Date:1986
Type:Text
Description:96 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1986.
URI:http://hdl.handle.net/2142/71246
Other Identifier(s):(UMI)AAI8701651
Date Available in IDEALS:2014-12-16
Date Deposited:1986


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