On ordered hypersemigroups given by a table of multiplication and a figure

Authors

NIOVI KEHAYOPULU

DOI

10.3906/mat-1711-53

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

First Page

2045

Last Page

2060

Recommended Citation

KEHAYOPULU, NIOVI (2018) "On ordered hypersemigroups given by a table of multiplication and a figure," Turkish Journal of Mathematics: Vol. 42: No. 4, Article 39. https://doi.org/10.3906/mat-1711-53
Available at: https://journals.tubitak.gov.tr/math/vol42/iss4/39