Some ordered hypersemigroups which enter their properties into their σ-classes
An important problem in the theory of ordered hypersemigroups is to describe the ordered hypersemigroups which enter their properties into their σ-classes. In this respect, we prove the following: If H is a regular, left (right) regular, completely regular, intra-regular, left (right) quasi-regular,...
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University of Mohaghegh Ardabili
2017-07-01
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| Series: | Journal of Hyperstructures |
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| Online Access: | https://jhs.uma.ac.ir/article_2680_a979499fb0c934ee21d535785287da1d.pdf |
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| author | Niovi Kehayopulu |
| author_facet | Niovi Kehayopulu |
| author_sort | Niovi Kehayopulu |
| collection | DOAJ |
| description | An important problem in the theory of ordered hypersemigroups is to describe the ordered hypersemigroups which enter their properties into their σ-classes. In this respect, we prove the following: If H is a regular, left (right) regular, completely regular, intra-regular, left (right) quasi-regular, semisimple, k regular, archimedean, weakly commutative, left (right) simple, simple, left (right) strongly simple ordered semigroup and σ a complete semilattice congruence on H then, for each a ∈ H, the σ-class (a)σ of H is, respectively, so. |
| format | Article |
| id | doaj-art-17077c8a45934db7a3397a1d6a3c1dbc |
| institution | Kabale University |
| issn | 2251-8436 2322-1666 |
| language | English |
| publishDate | 2017-07-01 |
| publisher | University of Mohaghegh Ardabili |
| record_format | Article |
| series | Journal of Hyperstructures |
| spelling | doaj-art-17077c8a45934db7a3397a1d6a3c1dbc2025-08-20T03:28:48ZengUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-84362322-16662017-07-016Spec. 13th AHA273710.22098/jhs.2017.26802680Some ordered hypersemigroups which enter their properties into their σ-classesNiovi Kehayopulu0Department of Mathematics, University of Athens, P.O.Box 16784, Athens, GreeceAn important problem in the theory of ordered hypersemigroups is to describe the ordered hypersemigroups which enter their properties into their σ-classes. In this respect, we prove the following: If H is a regular, left (right) regular, completely regular, intra-regular, left (right) quasi-regular, semisimple, k regular, archimedean, weakly commutative, left (right) simple, simple, left (right) strongly simple ordered semigroup and σ a complete semilattice congruence on H then, for each a ∈ H, the σ-class (a)σ of H is, respectively, so.https://jhs.uma.ac.ir/article_2680_a979499fb0c934ee21d535785287da1d.pdfordered hypersemigroupregularleft regularintra-regularleft quasi-regularsemisimplek-regulararchimedeanweakly commutativeleft simplesimpleleft strongly simplecomplete semilattice congruence |
| spellingShingle | Niovi Kehayopulu Some ordered hypersemigroups which enter their properties into their σ-classes Journal of Hyperstructures ordered hypersemigroup regular left regular intra-regular left quasi-regular semisimple k-regular archimedean weakly commutative left simple simple left strongly simple complete semilattice congruence |
| title | Some ordered hypersemigroups which enter their properties into their σ-classes |
| title_full | Some ordered hypersemigroups which enter their properties into their σ-classes |
| title_fullStr | Some ordered hypersemigroups which enter their properties into their σ-classes |
| title_full_unstemmed | Some ordered hypersemigroups which enter their properties into their σ-classes |
| title_short | Some ordered hypersemigroups which enter their properties into their σ-classes |
| title_sort | some ordered hypersemigroups which enter their properties into their σ classes |
| topic | ordered hypersemigroup regular left regular intra-regular left quasi-regular semisimple k-regular archimedean weakly commutative left simple simple left strongly simple complete semilattice congruence |
| url | https://jhs.uma.ac.ir/article_2680_a979499fb0c934ee21d535785287da1d.pdf |
| work_keys_str_mv | AT niovikehayopulu someorderedhypersemigroupswhichentertheirpropertiesintotheirsclasses |