A generalization of the field of fractions of an integral domain

UNCG Author/Contributor (non-UNCG co-authors, if there are any, appear on document)
Robert Eugene Michaud (Creator)
The University of North Carolina at Greensboro (UNCG )
Web Site: http://library.uncg.edu/
E. E. Posey

Abstract: In this paper the author deals with the problem of constructing the field of fractions of an integral domain and a generalization of one of the methods of construction used to construct a ring of left quotients for an arbitrary ring. In this generalization the author relies heavily upon the concept of a faithful complete filter and defines partial endomorphisms from the filter elements into the ring. After partitioning these partial endomorphisms into equivalence classes and after defining operations on the equivalence classes the author then shows that the resultant structure is a ring of left quotients. In addition to showing that a faithful complete filter assures the existence of a ring of left quotients the author shows that these rings of left quotients can be embedded in the Utumi ring of left quotients.

Additional Information

Language: English
Date: 1970
Endomorphism rings

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