Korean Journal of Mathematics

  • 제17권1호
  • /
  • Pages.77-81
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  • 2009
  • /
  • 1976-8605(pISSN)
  • /
  • 2288-1433(eISSN)
강원경기수학회 (The Kangwon-Kyungki Mathematical Society)
권호 표지

ON LEFT Γ-FILTERS OF Γ-po-SEMIGROUPS

  • Lee, S.K. (Department of Mathematics Education and RINS, Gyeongsang National University) ;
  • Kwon, Y.I. (Department of Mathematics Education and RINS, Gyeongsang National University)
  • 투고 : 2009.02.10
  • 발행 : 2009.03.30
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초록

We introduce the notions of a left(right) ${\Gamma}$-filter in a po-${\Gamma}$-semigroups and give a characterization of a left(right) ${\Gamma}$-filter of a po-${\Gamma}$-semigroups in term of right(left) prime ${\Gamma}$-ideals.

키워드

과제정보

연구 과제 주관 기관 : Gyeongsang National University

참고문헌

  1. Y. B. Jun, $\Gamma$-filters and semilattice $\Gamma$-congruences in po-$\Gamma$-semigroups, PU. M. A. No. 2-3-4 (1977), 275-280.
  2. N. Kehayopulu, On left regular ordered semigroups, Math. Japon., 35(6) (1990), 1057-1060.
  3. Y. I. Kwon and S. K. Lee, Some special elements in ordered $\Gamma$-semigroups, Kyungpook Math. J., 35(3) (1996), 679-685.
  4. S. K. Lee and Y. I. Kwon, A generaization of the thm of Giri and Wazalwar, Kyungpook Math. J., 37(1) (1997), 109-111.
  5. S. K. Lee and S. S. Lee, Left(right) filters on po-semigroups, Kangweon-Kyungki Math. J., 8(1) (2000), 43-45.
  6. M. K. Sen and N. K. Saha, On $\Gamma$-semigroup, Bull. Calcutta Math. Soc., 78 (1986), 180-186.