Characterizations of Regular Ordered Semirings by Ordered Quasi-Ideals
We introduce the notion of an ordered quasi-ideal of an ordered semiring and show that ordered quasi-ideals and ordered bi-ideals coincide in regular ordered semirings. Then we give characterizations of regular ordered semirings, regular ordered duo-semirings, and left (right) regular ordered semiri...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2016/4272451 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832562290964037632 |
|---|---|
| author | Pakorn Palakawong na Ayutthaya Bundit Pibaljommee |
| author_facet | Pakorn Palakawong na Ayutthaya Bundit Pibaljommee |
| author_sort | Pakorn Palakawong na Ayutthaya |
| collection | DOAJ |
| description | We introduce the notion of an ordered quasi-ideal of an ordered semiring and show that ordered quasi-ideals and ordered bi-ideals coincide in regular ordered semirings. Then we give characterizations of regular ordered semirings, regular ordered duo-semirings, and left (right) regular ordered semirings by their ordered quasi-ideals. |
| format | Article |
| id | doaj-art-d6c610fbfe4845aa8c499db965e9355f |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-d6c610fbfe4845aa8c499db965e9355f2025-02-03T01:23:06ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252016-01-01201610.1155/2016/42724514272451Characterizations of Regular Ordered Semirings by Ordered Quasi-IdealsPakorn Palakawong na Ayutthaya0Bundit Pibaljommee1Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, ThailandDepartment of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, ThailandWe introduce the notion of an ordered quasi-ideal of an ordered semiring and show that ordered quasi-ideals and ordered bi-ideals coincide in regular ordered semirings. Then we give characterizations of regular ordered semirings, regular ordered duo-semirings, and left (right) regular ordered semirings by their ordered quasi-ideals.http://dx.doi.org/10.1155/2016/4272451 |
| spellingShingle | Pakorn Palakawong na Ayutthaya Bundit Pibaljommee Characterizations of Regular Ordered Semirings by Ordered Quasi-Ideals International Journal of Mathematics and Mathematical Sciences |
| title | Characterizations of Regular Ordered Semirings by Ordered Quasi-Ideals |
| title_full | Characterizations of Regular Ordered Semirings by Ordered Quasi-Ideals |
| title_fullStr | Characterizations of Regular Ordered Semirings by Ordered Quasi-Ideals |
| title_full_unstemmed | Characterizations of Regular Ordered Semirings by Ordered Quasi-Ideals |
| title_short | Characterizations of Regular Ordered Semirings by Ordered Quasi-Ideals |
| title_sort | characterizations of regular ordered semirings by ordered quasi ideals |
| url | http://dx.doi.org/10.1155/2016/4272451 |
| work_keys_str_mv | AT pakornpalakawongnaayutthaya characterizationsofregularorderedsemiringsbyorderedquasiideals AT bunditpibaljommee characterizationsofregularorderedsemiringsbyorderedquasiideals |