On extended quasi-MV algebras
In this paper, we introduce a new algebraic structure called extended quasi-MV algebras, which are generalizations of quasi-MV algebras. The notions of ideals, ideal congruences and filters in Equasi-MV algebras were introduced and their mutual relationships were investigated. There is a bijection b...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Accademia Piceno Aprutina dei Velati
2021-12-01
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| Series: | Ratio Mathematica |
| Subjects: | |
| Online Access: | http://eiris.it/ojs/index.php/ratiomathematica/article/view/680 |
| _version_ | 1818943625405399040 |
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| author | Mengmeng Liu Hongxing Liu |
| author_facet | Mengmeng Liu Hongxing Liu |
| author_sort | Mengmeng Liu |
| collection | DOAJ |
| description | In this paper, we introduce a new algebraic structure called extended quasi-MV algebras, which are generalizations of quasi-MV algebras. The notions of ideals, ideal congruences and filters in Equasi-MV algebras were introduced and their mutual relationships were investigated. There is a bijection between the set of all ideals and the set of all ideal congruences on an Equasi-MV algebra. |
| first_indexed | 2024-12-20T07:30:18Z |
| format | Article |
| id | doaj.art-9f39e620116944988ecaf768f19912cc |
| institution | Directory Open Access Journal |
| issn | 1592-7415 2282-8214 |
| language | English |
| last_indexed | 2024-12-20T07:30:18Z |
| publishDate | 2021-12-01 |
| publisher | Accademia Piceno Aprutina dei Velati |
| record_format | Article |
| series | Ratio Mathematica |
| spelling | doaj.art-9f39e620116944988ecaf768f19912cc2022-12-21T19:48:27ZengAccademia Piceno Aprutina dei VelatiRatio Mathematica1592-74152282-82142021-12-014107910010.23755/rm.v41i0.680562On extended quasi-MV algebrasMengmeng Liu0Hongxing Liu1School of Mathematics and Statistics, Shandong Normal UniversitySchool of Mathematics and Statistics, Shandong Normal University, 250014, Jinan, P. R. ChinaIn this paper, we introduce a new algebraic structure called extended quasi-MV algebras, which are generalizations of quasi-MV algebras. The notions of ideals, ideal congruences and filters in Equasi-MV algebras were introduced and their mutual relationships were investigated. There is a bijection between the set of all ideals and the set of all ideal congruences on an Equasi-MV algebra.http://eiris.it/ojs/index.php/ratiomathematica/article/view/680equasi-mv algebrasquasi-mv algebrasidempotent elementsideal congruencesfilters |
| spellingShingle | Mengmeng Liu Hongxing Liu On extended quasi-MV algebras Ratio Mathematica equasi-mv algebras quasi-mv algebras idempotent elements ideal congruences filters |
| title | On extended quasi-MV algebras |
| title_full | On extended quasi-MV algebras |
| title_fullStr | On extended quasi-MV algebras |
| title_full_unstemmed | On extended quasi-MV algebras |
| title_short | On extended quasi-MV algebras |
| title_sort | on extended quasi mv algebras |
| topic | equasi-mv algebras quasi-mv algebras idempotent elements ideal congruences filters |
| url | http://eiris.it/ojs/index.php/ratiomathematica/article/view/680 |
| work_keys_str_mv | AT mengmengliu onextendedquasimvalgebras AT hongxingliu onextendedquasimvalgebras |