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On ideal structure of multisemigroups

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The paper at first briefly delineates some properties of multisets. The notion of multisemigroups and left(right) multi-ideals in multiset framework are introduced and several properties are investigated. Relationships between multisemigroups and left(right) multi-ideals are discussed. Characterizations of left(right) multi-deals, and multi-ideals generated by multisets are also considered.

Abstract

The paper at first briefly delineates some properties of multisets. The notion of multisemigroups and left(right) multi-ideals in multiset framework are introduced and several properties are investigated. Relationships between multisemigroups and left(right) multi-ideals are discussed. Characterizations of left(right) multi-deals, and multi-ideals generated by multisets are also considered.

참고문헌 (14)

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  7. G. Kudryavsteva, "On multisemigroups", Port. Math. (N.S), 72(1), pp.47~80 (2015)
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  9. Ronnason Chinram, "Left and right magnifying elements in some generalized partial transformation semigroups", Communications in Algebra, 49(7), pp.3176~3191 (2021), Informa UK Limited[DOI]
  10. N. Kuroki, "On fuzzy semigroups", Inform. Sci, 53, pp.203~236 (1991)
  11. J. N. Mordeson, "Fuzzy semigroups", Studies in Fuzziness and Soft Computing, 131, pp.40~313 (2003)
  12. M. Shabir, "On soft ideals and generalized fuzzy ideals in semigroups", New Math. Nat. Comp, 5(3), pp.599~615 (2009)
  13. M. Khan, "The generalized version of Jun’s cubic sets in semigroups", Journal of Intelligent and Fuzzy Systems, 28, pp.947~960 (2015)
  14. A. M. Ibrahim, "An extension of the concept of n-level sets to multisets", Ann. Fuzzy Math. Inform, 11(6), pp.855~862 (2016)

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