논문KCI 등재
Strong Reducedness and Strong Regularity for Near-rings
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Abstract
A near-ring N is called strongly reduced if, for a 2 N , a2 2 Nc implies a 2 Nc, where Nc denotes the constant part of N . We investigate some properties of strongly reduced near-rings and apply those to the study of left strongly regular near-rings. Finally we classify all reduced, and strongly reduced near-rings of order 7:
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