Linear inequations with 5-digit and regularity conditions on ordered ternary semigroups
We investigate linear inequations with 5-digit of regular elements of ordered ternary semigroups, define the notions of ordered weakly left ideals, ordered weakly right ideals and ordered strong bi-ideals of ordered ternary semigroups, give some characterizations of all regular elements of ordered...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Prince of Songkla University
2021-12-01
|
| Series: | Songklanakarin Journal of Science and Technology (SJST) |
| Subjects: | |
| Online Access: | https://rdo.psu.ac.th/sjst/journal/43-6/2.pdf |
| _version_ | 1818239524220698624 |
|---|---|
| author | Patchara Pornsurat Pakorn Palakawong na Ayutthaya Bundit Pibaljommee |
| author_facet | Patchara Pornsurat Pakorn Palakawong na Ayutthaya Bundit Pibaljommee |
| author_sort | Patchara Pornsurat |
| collection | DOAJ |
| description | We investigate linear inequations with 5-digit of regular elements of ordered ternary semigroups, define the notions of
ordered weakly left ideals, ordered weakly right ideals and ordered strong bi-ideals of ordered ternary semigroups, give some
characterizations of all regular elements of ordered ternary semigroups using many kinds of ordered ideals. Finally, we investigate
connections among all types of linear inequations with 5-digit of regular elements of ordered ternary semigroups. |
| first_indexed | 2024-12-12T12:58:55Z |
| format | Article |
| id | doaj.art-1fa29eb6211541989c1929ddca742a5c |
| institution | Directory Open Access Journal |
| issn | 0125-3395 |
| language | English |
| last_indexed | 2024-12-12T12:58:55Z |
| publishDate | 2021-12-01 |
| publisher | Prince of Songkla University |
| record_format | Article |
| series | Songklanakarin Journal of Science and Technology (SJST) |
| spelling | doaj.art-1fa29eb6211541989c1929ddca742a5c2022-12-22T00:23:50ZengPrince of Songkla UniversitySongklanakarin Journal of Science and Technology (SJST)0125-33952021-12-01436 1550155510.14456/sjst-psu.2021.202Linear inequations with 5-digit and regularity conditions on ordered ternary semigroupsPatchara Pornsurat0Pakorn Palakawong na Ayutthaya1Bundit Pibaljommee2Department of Mathematics, Faculty of Science, Khon Kaen University, Mueang, Khon Kaen, 40002 ThailandDepartment of Mathematics, Faculty of Science, Khon Kaen University, Mueang, Khon Kaen, 40002 ThailandCentre of Excellence in Mathematics, Commission on Higher Education (CHE), Ratchathewi, Bangkok, 10400 ThailandWe investigate linear inequations with 5-digit of regular elements of ordered ternary semigroups, define the notions of ordered weakly left ideals, ordered weakly right ideals and ordered strong bi-ideals of ordered ternary semigroups, give some characterizations of all regular elements of ordered ternary semigroups using many kinds of ordered ideals. Finally, we investigate connections among all types of linear inequations with 5-digit of regular elements of ordered ternary semigroups.https://rdo.psu.ac.th/sjst/journal/43-6/2.pdfordered ternary semigroupordered left idealordered right idealordered lateral idealordered quasi-idealordered bi-idealregular ordered ternary semigroup |
| spellingShingle | Patchara Pornsurat Pakorn Palakawong na Ayutthaya Bundit Pibaljommee Linear inequations with 5-digit and regularity conditions on ordered ternary semigroups Songklanakarin Journal of Science and Technology (SJST) ordered ternary semigroup ordered left ideal ordered right ideal ordered lateral ideal ordered quasi-ideal ordered bi-ideal regular ordered ternary semigroup |
| title | Linear inequations with 5-digit and regularity conditions on ordered ternary semigroups |
| title_full | Linear inequations with 5-digit and regularity conditions on ordered ternary semigroups |
| title_fullStr | Linear inequations with 5-digit and regularity conditions on ordered ternary semigroups |
| title_full_unstemmed | Linear inequations with 5-digit and regularity conditions on ordered ternary semigroups |
| title_short | Linear inequations with 5-digit and regularity conditions on ordered ternary semigroups |
| title_sort | linear inequations with 5 digit and regularity conditions on ordered ternary semigroups |
| topic | ordered ternary semigroup ordered left ideal ordered right ideal ordered lateral ideal ordered quasi-ideal ordered bi-ideal regular ordered ternary semigroup |
| url | https://rdo.psu.ac.th/sjst/journal/43-6/2.pdf |
| work_keys_str_mv | AT patcharapornsurat linearinequationswith5digitandregularityconditionsonorderedternarysemigroups AT pakornpalakawongnaayutthaya linearinequationswith5digitandregularityconditionsonorderedternarysemigroups AT bunditpibaljommee linearinequationswith5digitandregularityconditionsonorderedternarysemigroups |