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:
관련 논문AI추천
A NOTE ON STRONG REDUCEDNESS IN NEAR-RINGS조용욱한국수학교육학회 · 이론수학과 교직수학2003 · 제10권 제4호SOME RESULTS ON REDUCIBILITY AND STRONG REDUCIBILITY조용욱영남수학회 · East Asian Mathematical Journal2010 · 제26권 제3호Weakly b-Regular Near-Rings조용욱, Thirugnanam Tamizh Chelvam한국수학교육학회 · 이론수학과 교직수학2006 · 제13권 제2호Morphic Elements in Regular Near-ringsAlex Samuel Bamunoba, David Ssevviiri, Philly Ivan Kimuli경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2020 · 제60권 제4호Note on σ-derivations in Near-rings and Reduced Near-ringsArjunan Asokkumar경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2007 · 제47권 제1호ON NEAR-RINGS WITH STRONG REGULARITY조용욱한국수학교육학회 · 이론수학과 교직수학2010 · 제17권 제2호
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