Farahat, Hanafi K.Yahya, Hafizah2005-07-192005-07-191972Yahya, 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/1560182480853http://hdl.handle.net/1880/15196Bibliography: p. 101.The 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.vi, 101 leaves ; 30 cm.engUniversity 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.QA 322 Y34 1972Linear topological spacesVector analysismaster thesis10.11575/PRISM/15601QA 322 Y34 1972