Valuated modules over valuation domains.
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azu_td_9527965_sip1_m.pdf
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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
textDissertation-Reproduction (electronic)
Degree Name
Ph.D.Degree Level
doctoralDegree Program
MathematicsGraduate College