What can lattices do for hypersemigroups?

نویسندگان

چکیده

This is from Birkhoff, the "father of lattice theory" in Trends Lattice Theory. Van Nostrand 1970: "Lattices can do things for you, no matter what kind mathematician you are!". The aim this paper to show that $le$-semigroups (lattice ordered semigroups possessing a greatest element) play main role studying hypersemigroups. From many results on corresponding be obtained. converse also possible but beauty and simplicity "order" makes it easier investigate semigroup at first. After getting semigroups, by an easy modification hypersemigroups

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ژورنال

عنوان ژورنال: Turkish Journal of Mathematics

سال: 2023

ISSN: ['1303-6149', '1300-0098']

DOI: https://doi.org/10.55730/1300-0098.3448