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)
- W. Blizard, "The development of multiset theory", Modern Logic, 1, pp.319~352 (1991)
- D. Singh, "A systematization of fundamentals of multisets", Lecturas Matematicas, 29, pp.33~48 (2008)
- D. Singh, "An overview of the application of multisets", Novisad journal of Mathematics, 33(2), pp.73~92 (2007)
- M. A. Kazim, "On almost semigroup", The Alig. Bull. Math, 2, pp.1~7 (1972)
- M. Akram, "On (m, n)-ideals in LA-semigroups", Applied Mathematical Sciences, 7(44), pp.2187~2191 (2013)
- M. Gulistan, "A note on Hv-LA-semigroup", University Politehnica of Bucharest Scientific Bulletin-Series A-Applied Mathematics and Physics, 77(3), pp.93~106 (2015)
- G. Kudryavsteva, "On multisemigroups", Port. Math. (N.S), 72(1), pp.47~80 (2015)
- L. Forsberg, "Multtisemigroups with multiplicities and complete ordered semi-rings", Beitr Algebra Geom, 58, pp.405~426 (2016)
- 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]
- N. Kuroki, "On fuzzy semigroups", Inform. Sci, 53, pp.203~236 (1991)
- J. N. Mordeson, "Fuzzy semigroups", Studies in Fuzziness and Soft Computing, 131, pp.40~313 (2003)
- M. Shabir, "On soft ideals and generalized fuzzy ideals in semigroups", New Math. Nat. Comp, 5(3), pp.599~615 (2009)
- M. Khan, "The generalized version of Jun’s cubic sets in semigroups", Journal of Intelligent and Fuzzy Systems, 28, pp.947~960 (2015)
- A. M. Ibrahim, "An extension of the concept of n-level sets to multisets", Ann. Fuzzy Math. Inform, 11(6), pp.855~862 (2016)
