- Turkish Journal of Mathematics
- Vol: 42 Issue: 4
- On ordered hypersemigroups given by a table of multiplication and a figure
On ordered hypersemigroups given by a table of multiplication and a figure
Authors : Niovi Kehayopulu
Pages : 2045-2060
View : 7 | Download : 5
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :The aim is to show that from every example of a regular, intraregular, left (right) regular, left (right) quasiregular, semisimple, left (right) simple, simple, or strongly simple ordered semigroup given by a table of multiplication and an order, a corresponding example of regular, intraregular, left (right) regular, left (right) quasiregular, semisimple, left (right) simple, simple, or strongly simple ordered hypersemigroup can be constructed having the same left (right) ideals, bi-ideals, quasi-ideals, or interior ideals. On this occasion, some further related results have also been given.Keywords : Ordered semigroup, ordered hypersemigroup, right (left) ideal, bi-ideal, quasi-ideal, interior ideal, regular, right (left) regular, intraregular, right (left) quasiregular, semisimple, right (left) simple, simple