Document Type
Thesis - campus only access
Date of Award
Fall 1970
Degree Name
Master of Science (MS)
Department
Math
Advisor
Ellen Veed
Abstract
The purpose of this paper is to formulate the properties and the structure of near-rings. The definition is the basis of this development. Since near-rings lack only the left distributive law and commutative addition to be rings, many of the properties of near-rings can be proven that are properties of rings. From the definition it can be seen that near- rings are groups under addition. Therefore, criteria can be developed to insure that multiplication is defined such that a near-ring is created. Some near-rings are exhibited, mostly from the theory already presented. Ideals of near-rings are also developed.
Recommended Citation
Reid, Jerold W., "Structure and Properties of Near Rings" (1970). Master's Theses. 1311.
DOI: 10.58809/JQDO2393
Available at:
https://scholars.fhsu.edu/theses/1311
Rights
© 1970 Jerold W. Reid
Comments
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