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Characterizations of completely ordered k-regular semirings |
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| รหัสดีโอไอ | |
| Creator | 1. Pakorn Palakawong na Ayutthaya 2. Bundit Pibaljommee |
| Title | Characterizations of completely ordered k-regular semirings |
| Publisher | Research and Development Office, Prince of Songkla University |
| Publication Year | 2562 |
| Journal Title | Songklanakarin Journal of Science and Technology |
| Journal Vol. | 41 |
| Journal No. | 3 |
| Page no. | 501-505 |
| Keyword | ordered semiring, ordered k-regular semiring, completely regular semiring, completely ordered k-regular semiring |
| URL Website | http://rdo.psu.ac.th/sjstweb/index.php |
| ISSN | 0125-3395 |
| Abstract | We introduce the notion of a completely ordered k-regular semiring as a generalization of a completely regular ordered semiring and characterize it using its ordered k-ideals. Moreover, we show that an ordered semiring ?? is completely ordered kregular if and only if every ordered k-bi-ideal of ?? is semiprime. |
