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A Note on Regular Ternary Semirings

Sukhendu Kar|Tapan Kumar Dutta
경북대학교 자연과학대학 수학과|2006.09|Kyungpook Mathematical Journal|제46권 제3호|pp. 357-365

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Abstract

This paper is a sequel of our previous paper [1]. In this paper, we introduce the notions of regular ideal and partial ideal (p-ideal) in a ternary semiring and using these two notions we characterize regular ternary semiring.

참고문헌 (12)

  1. "On Regular Ternary Semirings, Advances in Algebra", pp.343~355 (2003)
  2. "On Prime Ideals And Prime Radical of Ternary Semirings", 97(5), pp.445~454 (2005)
  3. "On Semiprime Ideals^Irreducible Ideals Of TernarySemirings", 97(5), pp.467~476 (2005)
  4. "On Ternary Semields", 24(2), pp.185~198 (2004)
  5. "On The Jacobson Radical of A Ternary Semiring", 28(1), pp.1~13 (2004)
  6. "Two Types of Jacobson Radicals of Ternary Semirings", 29(4), pp.677~687 (2005)
  7. "Regularity Criterion for Complete Matrix Semirings", 70(3), pp.329~336 (2001)
  8. "A ternary analogue of abelian groups", 59, pp.329~338 (1932)
  9. "Ternary Rings", 154, pp.37~55 (1971)
  10. "On the extending of models I", 42, pp.38~54 (1955)
  11. "Some contributions to the study of ternary semigroups and semiheaps University of Madras" (1983)
  12. "Ideal theory in ternary semigroups", 10, pp.63~84 (1965)

관련 논문AI추천

A Note on Regularity in Matrix SemiringsShamik Ghosh경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2004 · 제44권 제1호On the Left Inversive Semiring Congruences on Additive Regular SemiringsA. K. Bhuniya, M. K. Sen한국수학교육학회 · 이론수학과 교직수학2005 · 제12권 제4호A Note on Strongly Euclidean SemiringP. Mukhopadhyay경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2003 · 제43권 제2호On 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 제2호On strongly regular near-subtraction semigroupsG. Satheesh Kumar, P. Dheena대한수학회 · 대한수학회논문집2007 · 제22권 제3호

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