International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2569

Full Length Research Paper

Minimal and maximal bi-ideals in ordered ternary semigroups

Ronnason Chinram1,3*, Samruam Baupradist2,3 and Sompob Saelee2
  1Department of Mathematics and Statistics, Faculty of Science, Prince of Songkla University, Hat Yai, Songkhla 90110, Thailand. 2Department of Mathematics, Faculty of Science, Chulalongkorn University, Bangkok 10330, Thailand. 3Centre of Excellence in Mathematics, CHE, Si Ayuthaya Road, Bangkok 10400, Thailand.
Email: [email protected]

  •  Accepted: 25 April 2012
  •  Published: 31 May 2012

Abstract

 

In this paper, some characterizations of minimal and maximal bi-ideals of ordered ternary semigroups were given. Moreover, the results of minimal and maximal bi-ideals of ordered ternary semigroups to ordered n-ary semigroups were generalized.

 

Key words: Bi-ideals, minimal bi-ideals, maximal bi-ideals, ordered ternary semigroups, ordered n-ary semigroups.

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