논문KCI 등재
On Semirings which are Distributive Lattices of Rings
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Abstract
We introduce the notions of nilpotent element, quasi-regular element in a semiring which is a distributive lattice of rings. The concept of Jacobson radical is introduced for this kind of semirings.
참고문헌 (5)
- "The Theory of Rings" (1973), Chelsea Publishing Company
- "The Theory of Semirings with Applications in Mathematics and Surveysin Pure and Applied Mathematics" (1992)
- "Semirings with a completely simple additive semigroup", series a, pp.257~267 (1975)
- "Inverse semirings", 18, pp.277~288 (1974)
- "Reilly, Completely Regular Semigroups" (1999), , Wiley
관련 논문AI추천
Weak Distributive n-Semilattices and n-Lattices임선주경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2007 · 제47권 제2호On Partitioning Ideals of SemiringsJayprakash Ninu Chaudhari, Vishnu Gupta경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2006 · 제46권 제2호On the Left Inversive Semiring Congruences on Additive Regular SemiringsA. K. Bhuniya, M. K. Sen한국수학교육학회 · 이론수학과 교직수학2005 · 제12권 제4호A Note on Regular Ternary SemiringsSukhendu Kar, Tapan Kumar Dutta경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2006 · 제46권 제3호One-sided Prime Ideals in SemiringsMuhammad Shabir, Muhammad Sohail Iqbal경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2007 · 제47권 제4호A Note on Strongly Euclidean SemiringP. Mukhopadhyay경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2003 · 제43권 제2호
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