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半环上的Green's-L关系 被引量:2

Green's-L Relation in Semirings
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摘要 由半环的理想出发,给出了半环上的Green’s-L关系L与其乘法半群的Green’s-L关系■相等的条件,探讨了满足■=L的半环的性质,并给出了单元素■-类的刻画。 Based on the ideas of the semirings, a condition is presented that a semiring' s Green' s-L relation L equals to its multiplication semigroup' s Green' s-L relation L. Then observed those semiring' s properties which satisfied L = L. At last a description is gaven of the one element L-class.
机构地区 西北大学
出处 《科学技术与工程》 2007年第7期1416-1418,共3页 Science Technology and Engineering
基金 陕西省教育厅自然科学专项基金项目(05AI5) 陕西省自然科学研究项目(2003A10)资助
关键词 半环 Green’s-关系 理想 semirings Green' s relations ideal
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参考文献2

  • 1Petro.Green’s relations and minimal puasi-Ideals in rings[].Communications in Algebra.2002
  • 2Howie J M.Fundamentals of semigrouptheory[]..1995

同被引文献15

  • 1平静水,邓科峰.幂等元半环上的D∨D关系[J].安徽大学学报(自然科学版),2007,31(1):9-11. 被引量:1
  • 2[2]Grillet M P.Greens relations in a semiring.Protugaliae Mathematica,1970;29(4):181-195
  • 3[3]Howie J M.An introduction to semigroup theory.London:Academic Press,1976
  • 4Howie J M. Fundametals of semigroups theory [M]. Oxford: Clarendon Press, 1995.
  • 5Ciric M, Bogdanovic S. Semilattice decompositions of semigroups [J]. Semigroup Forum, 1996, 52(1): 119-132.
  • 6Grillet M P. Green's relations in a semiring [J]. Portugal Math, 1970, 29 (4): 181-195.
  • 7Bhuniya A K, Mondal T K. Distributive lattice decompositions of semirings with a semilattice additive reduct [J]. Semigroup Forum, 2010, 80(2): 293-301.
  • 8Sen M K, Bhuniya A K. On additive idempotent k-regular semirings [J]. Bull Cal Math Soc, 2001, 93(5): 371-384.
  • 9Kehayopulu N. Note on Green's relations in ordered semigroups [J]. Mathematica Japonica, 1991, 36(2): 211-214.
  • 10Kehayopulu N. Ideals and green's relations in ordered semi- groups [J]. International Journal of Mathematics and Mathematical Sciences, 2006(1): 1-8.

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