Endomorphism algebras of vector spaces

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dc.contributor.advisorFarahat, Hanafi K.
dc.contributor.authorYahya, Hafizah
dc.date.accessioned2005-07-19T21:41:05Z
dc.date.available2005-07-19T21:41:05Z
dc.date.issued1972
dc.descriptionBibliography: p. 101.en
dc.description.abstractThe main object of this dissertation is to study the endomorphism algebra of a vector space with a family of invariant subspaces. Chapter 1 contains basic definitions and results which are used in the subsequent chapters. In particular, it includes a fairly detailed account of tensor products of modules and torsion free abelian groups of rank one. Chapter 2 is devoted to the discussion of the endomorphism algebra of a finite dimensional vector space with a finite set of invariant subspaces which satisfy certain distributivity conditions. Among other results we have established original theorems (2.1) and (2.3). Chapter 3 contains· the discussion of Brenner's five-space theorem (see [4]). Finally in Chapter 4, Brenner and Butler's theorem (see [5]), which proves the existence of a certain class of torsion free abelian groups, is established.en
dc.format.extentvi, 101 leaves ; 30 cm.en
dc.identifier82480853en
dc.identifier.citationYahya, H. (1972). Endomorphism algebras of vector spaces (Master's thesis, University of Calgary, Calgary, Canada). Retrieved from https://prism.ucalgary.ca. doi:10.11575/PRISM/15601en_US
dc.identifier.doihttp://dx.doi.org/10.11575/PRISM/15601
dc.identifier.lccQA 322 Y34 1972en
dc.identifier.other82480853en
dc.identifier.urihttp://hdl.handle.net/1880/15196
dc.language.isoeng
dc.publisher.institutionUniversity of Calgaryen
dc.publisher.placeCalgaryen
dc.rightsUniversity of Calgary graduate students retain copyright ownership and moral rights for their thesis. You may use this material in any way that is permitted by the Copyright Act or through licensing that has been assigned to the document. For uses that are not allowable under copyright legislation or licensing, you are required to seek permission.
dc.subject.lccQA 322 Y34 1972en
dc.subject.lcshLinear topological spaces
dc.subject.lcshVector analysis
dc.titleEndomorphism algebras of vector spaces
dc.typemaster thesis
thesis.degree.disciplineMathematics, Statistics and Computing Science
thesis.degree.grantorUniversity of Calgary
thesis.degree.nameMaster of Science (MSc)
ucalgary.thesis.accessionTheses Collection 58.002:Box 163 82480853
ucalgary.thesis.notesPLen
ucalgary.thesis.uarcreleasenoen
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