University of Illinois Urbana-Champaign

On Descent in Dimension Two and Non-Split Gorenstein Modules (Algebra, Commutative)

Weston, Dana Temer

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https://hdl.handle.net/2142/71246

Description

Title
On Descent in Dimension Two and Non-Split Gorenstein Modules (Algebra, Commutative)
Author(s)
Weston, Dana Temer
Issue Date
1986
Department of Study
Mathematics
Discipline
Mathematics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(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.
Graduation Semester
1986
Type of Resource
text
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http://hdl.handle.net/2142/71246

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