Contents V.3, N.1, 2012

  • On vague BI-ideals and vague weakly completely prime ideals in Г-semigroups
    Bijan Davvaz, Samit Kumar Majumder (pp. 62-74)

    • Abstract.

    In this paper, the study of vague structures of Г-semigroups is initiated by introduc- ing the concepts of vague subsemigroup, vague bi-ideal and vague (1; 2)-ideal in a Г-semigroup and some fundamental results are obtained. Then the concept of vague weakly completely prime ideals in Г-semigroups has been introduced and studied directly and via operator semigroups of a Г-semigroup.

    Keywords:

    Г-semigroup, vague characteristic set, vague subsemigroup, vague bi-ideal, vague (1; 2)-ideal, operator semigroups, Г-semigroup.

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