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Embedding near domains

Published online by Cambridge University Press:  17 April 2009

J.A. Graves
Affiliation:
El Paso Community College, El Paso, Texas, USA
J.J. Malone
Affiliation:
Worcester Polytechnic Institute, Worcester, Massachussets, USA.
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Abstract

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A class of near rings which generalizes the class of integral domains is defined. The definition of near domain is derived from the desirability of embedding near domains in near fields. The near domains presented here are shown to contain the D-rings of Berman and Siverman.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1973

References

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