Contents V.8, N.1, 2017

  • CHARACTERIZATIONS OF BI-HYPERIDEALS AND PRIME BI-HYPERIDEALS IN ORDERED KRASNER HYPERRINGS
    S.Omidi, B.Davvaz (pp. 64-82)

    • Abstract.

    In this paper, we introduce the concepts of bi-hyperideals and quasi-hyperideals of an ordered Krasner hyperring and present several examples of them. Some properties of bi-hyperideals and quasi-hyperideals in ordered Krasner hyperrings are provided. Moreover, we introduce and analyze the notion of prime bi-hyperideal of an ordered Krasner hyperring. Finally, we discuss some properties of topological bi-hyperideals in ordered Krasner hyperrings.

    Keywords:

    algebraic hyperstructure, ordered Krasner hyperring, quasi-hyperideal, bi-hyperideal, prime bi-hyperideal, regular.

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