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A generalization of UP-algebras: Weak UP-algebras |
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| รหัสดีโอไอ | |
| Creator | 1. Aiyared Iampan 2. Daniel Abraham Romano |
| Title | A generalization of UP-algebras: Weak UP-algebras |
| Publisher | Research and Development Office, Prince of Songkla University |
| Publication Year | 2021 |
| Journal Title | Songklanakarin Journal of Science and Technology (SJST) |
| Journal Vol. | 43 |
| Journal No. | 2 |
| Page no. | 524-530 |
| Keyword | UP-algebra, weak UP-algebra, closed wUP-ideal, (?)-ideal, ag-ideal, strong ideal, regular ideal, associative ideal, t-idea |
| URL Website | https://rdo.psu.ac.th/sjstweb/index.php |
| ISSN | 0125-3395 |
| Abstract | Many logical algebras such as BE-, KU- and BCC-algebras have their weak version as generalization. It is known thata CI-algebra is a weak version of a BE-algebra, a JU-algebra is a weak version of a KU-algebra, and a BZ-algebra is a weakversion of a BCC-algebra. In this paper, we introduce the concept of weak UP-algebras as a generalization of UP-algebras, andinvestigate its basic properties. Additionally, some types of ideals in this type of algebras are introduced and analyzed. |
