Abstract
dc:description.abstractR-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.
Degree
thesis:*- Name thesis:degree_name
- Master of Science in Mathematics
- Level thesis:degree_level
- Masters
- Discipline thesis:degree_discipline
- Mathematics
- Year
- 1998
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Lathrom, Grant
- Contributors dc:contributor
-
- Cameron Wickham
Subjects
dc:subject × 1Rights
dc:rights- Statement dc:rights
-
- © Grant Lathrom
Identifiers
dc:identifier.*- Repository record dc:identifier
- https://bearworks.missouristate.edu/theses/855
- OAI identifier oai:identifier
- oai:bearworks.missouristate.edu:theses-1856