논문KCI 등재
On Partitioning Ideals of Semirings
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Abstract
We prove the following results: (1) Let R be a strongly euclidean semiring. Then an ideal A of Rn£n is a partitioning ideal if and only if it is a subtractive ideal. (2) A monic ideal M of R[x], where R is a strongly euclidean semiring, is a partitioning ideal if and only if it is a subtractive ideal.
참고문헌 (6)
- "A fundamental theorem of homomorphism for semirings", 21, pp.412~416 (1969)
- "Monic and monic free ideals in a polynomial semiring", 56, pp.45~50 (1976)
- "A note on regularity in matrix semirings", 44, pp.1~4 (2004)
- J. S. Golan, "Semirings and their Applications" (1999), Kluwer Academic Publishers
- "Some remarks on semirings", 12, pp.13~18 (2003)
- "On maximal k-ideals of semirings", pp.699~703 (1993)
관련 논문AI추천
Ideal Theory in Commutative A-semiringsHee Sik Kim, Joseph Neggers, Paul J. Allen경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2006 · 제46권 제2호One-sided Prime Ideals in SemiringsMuhammad Shabir, Muhammad Sohail Iqbal경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2007 · 제47권 제4호On Semirings which are Distributive Lattices of RingsS. K. Maity경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2005 · 제45권 제1호A Note on Strongly Euclidean SemiringP. Mukhopadhyay경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2003 · 제43권 제2호On Partitioning and Subtractive Ideals of Ternary SemiringsJaiprakash Ninu Chaudhari, Kunal Julal Ingale경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2011 · 제51권 제1호On the Left Inversive Semiring Congruences on Additive Regular SemiringsA. K. Bhuniya, M. K. Sen한국수학교육학회 · 이론수학과 교직수학2005 · 제12권 제4호
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