Kyungpook Mathematical Journal

  • 제45권1호
  • /
  • Pages.21-31
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  • 2005
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  • 1225-6951(pISSN)
  • /
  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
권호 표지

On Semirings which are Distributive Lattices of Rings

  • Maity, S.K. (Department of Pure Mathematics, University of Calcutta)
  • 투고 : 2003.05.14
  • 발행 : 2005.03.23
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초록

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.

키워드

과제정보

연구 과제 주관 기관 : CSIR, India

참고문헌

  1. The Theory of Rings McCoy, N.H.
  2. The Theory of Semirings with Applications in Mathematics and Surveys in Pure and Applied Mathematics Golan, J.S.
  3. J. Austral. Math. Soc. (Series A) v.20 Semirings with a completely simple additive semigroup Grillet, M.P.
  4. J. Austral. Math. Soc. v.18 Inverse semirings Karvellas, P.H.
  5. Completely Regular Semigroups Petrich, M.;Reilly, N.R.
  6. Semigroup Forum v.23 Regular semirings Zeleznekow, J.