J4 ›› 2013, Vol. 48 ›› Issue (8): 36-40.

• Articles • Previous Articles     Next Articles

Idempotents of semigroup PΓ(Λ×Λ) of binary relations determined by the semilattice Γ on the set Λ

LIN Ping-feng, ZENG Wei, ZENG Chun-yi   

  1. School of Preparatory Courses, Southwest University for Nationalities, Chengdu 610041, Sichuan, China
  • Received:2012-09-24 Online:2013-08-20 Published:2013-08-21

Abstract:

Let Λ be an arbitrary nonempty set, and Γ be a semilattice on the set Λ, semigroup PΓ(Λ×Λ) is a semigroup of binary relations determined by the semilattice Γ on the set Λ. Use of the nature of the semilattice,characteristics of idempotents of the semigroup PΓ(Λ×Λ) are obtained,and a class of idempotents is constructed; Finally, left units of the semigroup PΓ(Λ×Λ) are characterized.

Key words:  semigroup of binary relations; idempotents; left units

No related articles found!
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!