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On left Γ-filters of Γ-po-semigroups

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We introduce the notions of a left(right) Γ-filter in a po-Γ-semigroups and give a characterization of a left(right) Γ-filter of a po-Γ-semigroups in term of right(left) prime Γ-ideals.

Abstract

We introduce the notions of a left(right) Γ-filter in a po-Γ-semigroups and give a characterization of a left(right) Γ-filter of a po-Γ-semigroups in term of right(left) prime Γ-ideals.

참고문헌 (6)

  1. Y. B. Jun, "I-flters and semilattice I-congruences in po-I-semigroups", PU. M.A., (2), pp.275~280 (1977)
  2. N. Kehayopulu, "On left regular ordered semigroups", Math. Japon, 35(6), pp.1057~1060 (1990)
  3. Y. I. Kwon, "Some special elements in ordered I-semigroups", Kyungpook Math. J, 35(3), pp.679~685 (1996)
  4. S. K. Lee, "A generaization of the thm of Giri and Wazalwar", Kyungpook Math. J, 37(1), pp.109~111 (1997)
  5. S. K. Lee, "Left(right) flters on po-semigroups", Kangweon-Kyungki Math. J, 8(1), pp.43~45 (2000)
  6. M. K. Sen, "On I-semigroup", Bull. Calcutta Math. Soc.,, 78, pp.180~186 (1986)

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