Thesis Title

Processing Ion Beam Mixed Nickel/Polyimide Thin Films

Author

Lisa K. Elder

Date of Graduation

Summer 1998

Degree

Master of Science in Materials Science

Department

Physics, Astronomy and Materials Science

Committee Chair

Ryan Giedd

Subject Categories

Materials Science and Engineering

Abstract

R-modules are algebraic objects which may be considered as generalizations of k-vector spaces. An element a∈A is a torsion element of a module A if there is a nonzerodivisor r∈R such that ra=0. For an arbitrary ring R if we take Q to be the localization of R with respect to the set of nonzerodivisors then we can show for any R-module A the module TorR₁(A, Q/R) is isomorphic to t(A), the torsion submodule of A. Furthermore, if A and B are arbitrary R-modules then in the case where R is a domain we have that TorRn(A, B) is torsion for all n≥1.

Copyright

© Lisa K Elder

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