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Algebraic Properties Of Endomorphisms Of Abelian Groups And Rings, Johnnie George Slagle
Algebraic Properties Of Endomorphisms Of Abelian Groups And Rings, Johnnie George Slagle
All Graduate Theses and Dissertations, Spring 1920 to Summer 2023
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.