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A constructing method for completely regular semigroup

BI Xiao-dong   

  1. Shandong Police College, Jinan 250014, Shandong, China
  • Received:2006-07-20 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
  • Contact: BI Xiao-dong

Abstract: A constructing method for completely regular semigroup is offered by using completely simple semigroup, semilattice and constructing functions. Furthermore, the relation between homomorphism of completely regular semigroups and constructing functions is discussed. Constructing functions of spinning product of completely regular semigroups are considered.

Key words: spinning product , constructing function, semilattice, completely simple semigroup, completely regular semigroup

CLC Number: 

  • O152.7
[1] SHAO Yong. Semilattice-ordered completely regular periodic semigroups [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2018, 53(10): 1-5.
[2] LIN Ping-feng. Non-solvabla elements of semigroup PΓ(Λ×Λ)of binary relations determined by the semilattice Γ on the set Λ [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2016, 51(2): 12-15.
[3] SU Yu, KONG Xiang-zhi*. LρC-regular semigroups [J]. J4, 2011, 46(4): 68-69.
[4] LIU Kai-Zhen, KONG Xiang-Zhi. The structure of semi-superabundant semigroups [J]. J4, 2010, 45(1): 86-88.
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