Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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On Semirings which are Distributive Lattices of Rings

  • Maity, S.K. (Department of Pure Mathematics, University of Calcutta)
  • Received : 2003.05.14
  • Published : 2005.03.23
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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.

Keywords

Acknowledgement

Supported by : CSIR, India

References

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  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.