Chinese Quarterly Journal of Mathematics ›› 2013, Vol. 28 ›› Issue (3): 390-396.

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On Some Subsemigroups of the 4-cyclic Semigroup-II

  

  1. 1. School of Mathematics and Statistics, Puer University 2. School of Mathematics, South China Normal University
  • Received:2012-03-24 Online:2013-09-30 Published:2023-02-23
  • About author:SHANG Yu(1970-), male, native of Puer, Yunnan, an associate professor of Puer University, Ph.D., engages in the study of the algebraic analysis of semigroup theory; WANG Li-min(1962-), male, native of Xiangyang, Hubei, a professor of South China Normal University, Ph.D., engages in the study of the algebraic analysis of semigroup theory.
  • Supported by:
    Supported by the Science Foundation of the Department of Education of Yunnan Province(2011Y478)

Abstract: In this paper, we study subsemigroups Bd,0 of the 4-cyclic semigroup Bω2 and characterize the Green’s relations of Bd,0. We show that, up to isomorphism, the only fundamental simple inverse ω2-semigroups such that D|E(S)=Md are the semigroups Bd,0(d=1,2,3,···).


Key words: ω2-semigroup, 4-cyclic semigroup, Green’s relations

CLC Number: