Persistent Link:
http://hdl.handle.net/10150/187000
Title:
Valuated modules over valuation domains.
Author:
Bollschweiler, Ronald Frank.
Issue Date:
1994
Publisher:
The University of Arizona.
Rights:
Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.
Abstract:
Let R be a valuation domain and A be a reduced torsion-free R-algebra of rank λ. We construct a valuated R-module F of rank 2λ whose valuated endomorphism algebra is A. We then use this module F to obtain an R-module M of rank 2λ whose endomorphism algebra is A⨁Hom(R)(M,T) where T is the torsion submodule of M.
Type:
text; Dissertation-Reproduction (electronic)
Degree Name:
Ph.D.
Degree Level:
doctoral
Degree Program:
Mathematics; Graduate College
Degree Grantor:
University of Arizona
Committee Chair:
May, Warren

Full metadata record

DC FieldValue Language
dc.language.isoenen_US
dc.titleValuated modules over valuation domains.en_US
dc.creatorBollschweiler, Ronald Frank.en_US
dc.contributor.authorBollschweiler, Ronald Frank.en_US
dc.date.issued1994en_US
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.en_US
dc.description.abstractLet R be a valuation domain and A be a reduced torsion-free R-algebra of rank λ. We construct a valuated R-module F of rank 2λ whose valuated endomorphism algebra is A. We then use this module F to obtain an R-module M of rank 2λ whose endomorphism algebra is A⨁Hom(R)(M,T) where T is the torsion submodule of M.en_US
dc.typetexten_US
dc.typeDissertation-Reproduction (electronic)en_US
thesis.degree.namePh.D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.disciplineMathematicsen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.chairMay, Warrenen_US
dc.contributor.committeememberMcCallum, Williamen_US
dc.contributor.committeememberToubassi, Eliasen_US
dc.identifier.proquest9527965en_US
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