Endomorphism algebras of vector spaces

Date
1972
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Abstract
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.
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Bibliography: p. 101.
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Citation
Yahya, 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/15601
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