AuthorBollschweiler, Ronald Frank.
Committee ChairMay, Warren
MetadataShow full item record
PublisherThe University of Arizona.
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.
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.