A generalization of UP-algebras: Weak UP-algebras
Many logical algebras such as BE-, KU- and BCC-algebras have their weak version as generalization. It is known that a 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 weak version of a BCC-algebra. In this paper, we introduce the c...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Prince of Songkla University
2021-04-01
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| Series: | Songklanakarin Journal of Science and Technology (SJST) |
| Subjects: | |
| Online Access: | https://rdo.psu.ac.th/sjstweb/journal/43-2/30.pdf |
| _version_ | 1818664394370842624 |
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| author | Aiyared Iampan Daniel Abraham Romano |
| author_facet | Aiyared Iampan Daniel Abraham Romano |
| author_sort | Aiyared Iampan |
| collection | DOAJ |
| description | Many logical algebras such as BE-, KU- and BCC-algebras have their weak version as generalization. It is known that
a 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 weak
version of a BCC-algebra. In this paper, we introduce the concept of weak UP-algebras as a generalization of UP-algebras, and
investigate its basic properties. Additionally, some types of ideals in this type of algebras are introduced and analyzed. |
| first_indexed | 2024-12-17T05:32:03Z |
| format | Article |
| id | doaj.art-209c1f44af8b4391aa1490d18296f760 |
| institution | Directory Open Access Journal |
| issn | 0125-3395 |
| language | English |
| last_indexed | 2024-12-17T05:32:03Z |
| publishDate | 2021-04-01 |
| publisher | Prince of Songkla University |
| record_format | Article |
| series | Songklanakarin Journal of Science and Technology (SJST) |
| spelling | doaj.art-209c1f44af8b4391aa1490d18296f7602022-12-21T22:01:42ZengPrince of Songkla UniversitySongklanakarin Journal of Science and Technology (SJST)0125-33952021-04-0143252453010.14456/sjst-psu.2021.70A generalization of UP-algebras: Weak UP-algebrasAiyared Iampan0Daniel Abraham Romano1Department of Mathematics, School of Science, University of Phayao, Mae Ka, Mueang, Phayao, 56000 ThailandInternational Mathematical Virtual Institute, Scientific Society of Mathematicians Banja Luka, Banja Luka, Bosnia and Herzegovina, 78000 SrpskaMany logical algebras such as BE-, KU- and BCC-algebras have their weak version as generalization. It is known that a 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 weak version of a BCC-algebra. In this paper, we introduce the concept of weak UP-algebras as a generalization of UP-algebras, and investigate its basic properties. Additionally, some types of ideals in this type of algebras are introduced and analyzed.https://rdo.psu.ac.th/sjstweb/journal/43-2/30.pdfup-algebraweak up-algebraclosed wup-ideal(★)-idealag-idealstrong idealregular idealassociative idealt-ideal |
| spellingShingle | Aiyared Iampan Daniel Abraham Romano A generalization of UP-algebras: Weak UP-algebras Songklanakarin Journal of Science and Technology (SJST) up-algebra weak up-algebra closed wup-ideal (★)-ideal ag-ideal strong ideal regular ideal associative ideal t-ideal |
| title | A generalization of UP-algebras: Weak UP-algebras |
| title_full | A generalization of UP-algebras: Weak UP-algebras |
| title_fullStr | A generalization of UP-algebras: Weak UP-algebras |
| title_full_unstemmed | A generalization of UP-algebras: Weak UP-algebras |
| title_short | A generalization of UP-algebras: Weak UP-algebras |
| title_sort | generalization of up algebras weak up algebras |
| topic | up-algebra weak up-algebra closed wup-ideal (★)-ideal ag-ideal strong ideal regular ideal associative ideal t-ideal |
| url | https://rdo.psu.ac.th/sjstweb/journal/43-2/30.pdf |
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