Graduation Semester and Year

2014

Language

English

Document Type

Dissertation

Degree Name

Doctor of Philosophy in Mathematics

Department

Mathematics

First Advisor

David A Jorgensen

Abstract

For complexes of modules we study a new construction, called the pinched tensor product, which was introduced by Lars Winther Christensen and David A. Jorgensen to study Tate homology. We explore properties of the pinched tensor product and their comparison to properties of the ordinary tensor product. For example; we show some isomorphisms no longer holds for the pinched tensor product. Although if we change isomorphism to quasi-isomorphism the pinched version holds. Plus if f is a map from C to D and g is a map from A to B are morphisms of complexes of R-modules with f homotopic to 0, then the tensor map between f and g also homotopic to 0, and this property is not true for the pinched tensor product.

Disciplines

Mathematics | Physical Sciences and Mathematics

Comments

Degree granted by The University of Texas at Arlington

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Mathematics Commons

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