Date of Award:
5-1968
Document Type:
Thesis
Degree Name:
Master of Science (MS)
Department:
Mathematics and Statistics
Department name when degree awarded
Mathematics
Committee Chair(s)
Konrad Suprunowicz
Committee
Konrad Suprunowicz
Abstract
The main objective of the thesis was to extend the definition of an M-Group to what is called an M-Ring. From this extension a system called an expanded ring follows naturally. To facilitate the development of the expanded ring, chapter I is devoted to developing properties on systems that are not quite rings where many interesting examples are constructed. In chapter II the definition of an M-Ring is given and some of its properties are derived. In chapter III some of the properties of expanded rings are proved, and examples of expanded rings are given to show their existence.
Checksum
83aa9ffac9a48215e956ead32977ccc9
Recommended Citation
Slagle, Johnnie George, "Algebraic Properties of Endomorphisms of Abelian Groups and Rings" (1968). All Graduate Theses and Dissertations, Spring 1920 to Summer 2023. 6819.
https://digitalcommons.usu.edu/etd/6819
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