On MV-algebras of non-linear functions
In this paper, the main results are:a study of the finitely generated MV-algebras of continuous functions from the n-th power of the unit real interval I to I;a study of Hopfian MV-algebras; anda category-theoretic study of the map sending an MV-algebra as above to the range of its generators (up to...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Shahid Beheshti University
2017-01-01
|
| Series: | Categories and General Algebraic Structures with Applications |
| Subjects: | |
| Online Access: | http://www.cgasa.ir/article_40443_c18b8b2c7dd7e06904930c09a08f4a60.pdf |
| _version_ | 1819072260363780096 |
|---|---|
| author | Antonio Di Nola Giacomo Lenzi Gaetano Vitale |
| author_facet | Antonio Di Nola Giacomo Lenzi Gaetano Vitale |
| author_sort | Antonio Di Nola |
| collection | DOAJ |
| description | In this paper, the main results are:a study of the finitely generated MV-algebras of continuous functions from the n-th power of the unit real interval I to I;a study of Hopfian MV-algebras; anda category-theoretic study of the map sending an MV-algebra as above to the range of its generators (up to a suitable form of homeomorphism). |
| first_indexed | 2024-12-21T17:34:54Z |
| format | Article |
| id | doaj.art-17a1636fc5aa411abbfa96c1144b5760 |
| institution | Directory Open Access Journal |
| issn | 2345-5853 2345-5861 |
| language | English |
| last_indexed | 2024-12-21T17:34:54Z |
| publishDate | 2017-01-01 |
| publisher | Shahid Beheshti University |
| record_format | Article |
| series | Categories and General Algebraic Structures with Applications |
| spelling | doaj.art-17a1636fc5aa411abbfa96c1144b57602022-12-21T18:55:47ZengShahid Beheshti UniversityCategories and General Algebraic Structures with Applications2345-58532345-58612017-01-016Speical Issue on the Occasion of Banaschewski's 90th Birthday (I)10712040443On MV-algebras of non-linear functionsAntonio Di Nola0Giacomo Lenzi1Gaetano Vitale2Department of Mathematics, University of Salerno, Via Giovanni Paolo II 132, I-84084 Fisciano (SA), Italy.Department of Mathematics, University of Salerno, Via Giovanni Paolo II 132, I-84084 Fisciano (SA), Italy.Department of Mathematics, University of Salerno, Via Giovanni Paolo II 132, I-84084 Fisciano (SA), Italy.In this paper, the main results are:a study of the finitely generated MV-algebras of continuous functions from the n-th power of the unit real interval I to I;a study of Hopfian MV-algebras; anda category-theoretic study of the map sending an MV-algebra as above to the range of its generators (up to a suitable form of homeomorphism).http://www.cgasa.ir/article_40443_c18b8b2c7dd7e06904930c09a08f4a60.pdfMV-algebraMcNaughton functionHopfian algebra |
| spellingShingle | Antonio Di Nola Giacomo Lenzi Gaetano Vitale On MV-algebras of non-linear functions Categories and General Algebraic Structures with Applications MV-algebra McNaughton function Hopfian algebra |
| title | On MV-algebras of non-linear functions |
| title_full | On MV-algebras of non-linear functions |
| title_fullStr | On MV-algebras of non-linear functions |
| title_full_unstemmed | On MV-algebras of non-linear functions |
| title_short | On MV-algebras of non-linear functions |
| title_sort | on mv algebras of non linear functions |
| topic | MV-algebra McNaughton function Hopfian algebra |
| url | http://www.cgasa.ir/article_40443_c18b8b2c7dd7e06904930c09a08f4a60.pdf |
| work_keys_str_mv | AT antoniodinola onmvalgebrasofnonlinearfunctions AT giacomolenzi onmvalgebrasofnonlinearfunctions AT gaetanovitale onmvalgebrasofnonlinearfunctions |