The Journal of the Indian Mathematical Society

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A Note on Regular Near-Rings


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1 University of Kentucky, Lexington, Kentucky, United States
     

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In this note we introduce the concept of a regular near-ring with identity and develop several elementary properties of such near-rings. We show that every near-ring with identity is isomorphic to a sub-near-ring of a regular near-ring with identity.
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  • A Note on Regular Near-Rings

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Authors

James C. Beidleman
University of Kentucky, Lexington, Kentucky, United States

Abstract


In this note we introduce the concept of a regular near-ring with identity and develop several elementary properties of such near-rings. We show that every near-ring with identity is isomorphic to a sub-near-ring of a regular near-ring with identity.