Lattice of weak hyper K-ideals of a hyper K-algebra
In this note, we study the lattice structure on the class of all weak hyper K-ideals of a hyper K-algebra. We first introduce the notion of (left,right) scalar in a hyper K-algebra which help us to characterize the weak hyper K-ideals generated by a subset. In the sequel, using the notion of a closu...
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| Format: | Article |
| Language: | English |
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Shahrood University of Technology
2014-01-01
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| Series: | Journal of Algebraic Systems |
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| Online Access: | http://jas.shahroodut.ac.ir/article_232_fe64e3c27374bc5dcee6428ef6fbdbec.pdf |
| _version_ | 1819211590827769856 |
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| author | Mahmood Bakhshi |
| author_facet | Mahmood Bakhshi |
| author_sort | Mahmood Bakhshi |
| collection | DOAJ |
| description | In this note, we study the lattice structure on the class of all weak hyper K-ideals of a hyper K-algebra. We first introduce the notion of (left,right) scalar in a hyper K-algebra which help us to characterize the weak hyper K-ideals generated by a subset. In the sequel, using the notion of a closure operator, we study the lattice of all weak hyper K-ideals of ahyper K-algebra, and we prove a special subclass of this class togetherwith the suitable operations forms a Boolean lattice. |
| first_indexed | 2024-12-23T06:29:30Z |
| format | Article |
| id | doaj.art-bd9ecd4c06594677a8d10fd91b57a6e0 |
| institution | Directory Open Access Journal |
| issn | 2345-5128 2345-511X |
| language | English |
| last_indexed | 2024-12-23T06:29:30Z |
| publishDate | 2014-01-01 |
| publisher | Shahrood University of Technology |
| record_format | Article |
| series | Journal of Algebraic Systems |
| spelling | doaj.art-bd9ecd4c06594677a8d10fd91b57a6e02022-12-21T17:56:59ZengShahrood University of TechnologyJournal of Algebraic Systems2345-51282345-511X2014-01-011213514710.22044/jas.2014.232232Lattice of weak hyper K-ideals of a hyper K-algebraMahmood Bakhshi0teacher.bojnoord university.iranIn this note, we study the lattice structure on the class of all weak hyper K-ideals of a hyper K-algebra. We first introduce the notion of (left,right) scalar in a hyper K-algebra which help us to characterize the weak hyper K-ideals generated by a subset. In the sequel, using the notion of a closure operator, we study the lattice of all weak hyper K-ideals of ahyper K-algebra, and we prove a special subclass of this class togetherwith the suitable operations forms a Boolean lattice.http://jas.shahroodut.ac.ir/article_232_fe64e3c27374bc5dcee6428ef6fbdbec.pdfHyper K-idealsweak hyper K-idealsBoolean lattice |
| spellingShingle | Mahmood Bakhshi Lattice of weak hyper K-ideals of a hyper K-algebra Journal of Algebraic Systems Hyper K-ideals weak hyper K-ideals Boolean lattice |
| title | Lattice of weak hyper K-ideals of a hyper K-algebra |
| title_full | Lattice of weak hyper K-ideals of a hyper K-algebra |
| title_fullStr | Lattice of weak hyper K-ideals of a hyper K-algebra |
| title_full_unstemmed | Lattice of weak hyper K-ideals of a hyper K-algebra |
| title_short | Lattice of weak hyper K-ideals of a hyper K-algebra |
| title_sort | lattice of weak hyper k ideals of a hyper k algebra |
| topic | Hyper K-ideals weak hyper K-ideals Boolean lattice |
| url | http://jas.shahroodut.ac.ir/article_232_fe64e3c27374bc5dcee6428ef6fbdbec.pdf |
| work_keys_str_mv | AT mahmoodbakhshi latticeofweakhyperkidealsofahyperkalgebra |