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A Note on Strongly Euclidean Semiring
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Abstract
Structure of ideals in an Euclidean semiring has been studied by Dale L. and Hanson D. L. [1] (1977). Mukhopadhyay in his paper [4] (1999) raised the question "Is every Euclidean semiring a principal k-ideal semiring ?" An answer to this question in the case of inversive semirings is provided in the present paper.
관련 논문AI추천
A Note on Regular Ternary SemiringsSukhendu Kar, Tapan Kumar Dutta경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2006 · 제46권 제3호A NOTE ON STRONG REDUCEDNESS IN NEAR-RINGS조용욱한국수학교육학회 · 이론수학과 교직수학2003 · 제10권 제4호A Note on Regularity in Matrix SemiringsShamik Ghosh경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2004 · 제44권 제1호On Semirings which are Distributive Lattices of RingsS. K. Maity경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2005 · 제45권 제1호On Partitioning Ideals of SemiringsJayprakash Ninu Chaudhari, Vishnu Gupta경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2006 · 제46권 제2호Strong Reducedness and Strong Regularity for Near-ringsYasuyuki Hirano, Yong Uk Cho경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2003 · 제43권 제4호
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