Chinese Quarterly Journal of Mathematics ›› 2011, Vol. 26 ›› Issue (3): 366-371.

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Right pp Semigroups with Multiplicative Right Adequate Transversals

  

  1. 1. Department of Teaching and Scientific Research, Zhuhai City Polytechnic2. Department of Mathematics, Jiangxi Normal University

  • Received:2007-12-25 Online:2011-09-30 Published:2023-04-18
  • About author:HU Yao-hua(1971-), male, native of Tongcheng, Hubei, a lecturer of Zhuhai City Polytechnic, M.S.D., engages in theory of semigroup.
  • Supported by:
    Supported by the NNSF of China(10961014)； Supported by the NSF of Jiangxi Province； Supported by the SF of Education Department of Jiangxi Province(GJJ11388)；

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Abstract: In this paper, the concept of right adequate transversals of rpp semigroups is introduced. We establish the structure of rpp semigroups with multiplicative right adequate transversals in terms of right normal bands and right adequate semigroups.In particular, some special cases are considered.

Key words: rpp semigroup, right adequate transversal, right normal band

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