A Study Of Torsion Theories

ASU Author/Contributor (non-ASU co-authors, if there are any, appear on document)
Wallace Lee Lemons (Creator)
Appalachian State University (ASU )
Web Site: https://library.appstate.edu/
James Smith

Abstract: This paper is a study of torsion theories and related topics such as pure and divisible for both integral domains and non-integral domains. Motivating the study was a super goal of investigating the existence and uniqueness of torsion-free covering modules over not necessarily integral domains. These are shown to exist and uniquely in the first section of the paper for the integral domain case. Two torsion theories for not necessarily integral domains are studied in the second and third sections.

Additional Information

Lemons, W. (No Date Provided). A Study Of Torsion Theories. Unpublished Master’s Thesis. Appalachian State University, Boone, NC.
Language: English
Date: 2021
torsion theories, integral domains, non-integral domains, torsion-free covering modules, mathematics

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