Structure and Properties of Near Rings

Author

Jerold W. Reid, Fort Hays Kansas State College

Department

Math

Degree Name

Master of Science (MS)

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.

Keywords

Algebra, Mathematics--Formulae, Addition, Multiplication, Analysis, Near-rings

Advisor

Ellen Veed

Date of Award

Fall 1970

Document Type

Thesis - campus only access

DOI

10.58809/JQDO2393

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

© The Author(s)

Comments

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