On MV-algebras of non-linear functions

On MV-algebras of non-linear functions

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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...

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Main Authors: Antonio Di Nola, Giacomo Lenzi, Gaetano Vitale
Format: Article
Language:English
Published: Shahid Beheshti University 2017-01-01
Series:Categories and General Algebraic Structures with Applications
Subjects:
MV-algebra
McNaughton function
Hopfian algebra
Online Access:http://www.cgasa.ir/article_40443_c18b8b2c7dd7e06904930c09a08f4a60.pdf
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spelling doaj-17a1636fc5aa411abbfa96c1144b57602020-11-24T21:56:39ZengShahid 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
collection DOAJ
language English
format Article
sources DOAJ
author Antonio Di Nola
Giacomo Lenzi
Gaetano Vitale
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
author_facet Antonio Di Nola
Giacomo Lenzi
Gaetano Vitale
author_sort Antonio Di Nola
title On MV-algebras of non-linear functions
title_short 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_sort on mv-algebras of non-linear functions
publisher Shahid Beheshti University
series Categories and General Algebraic Structures with Applications
issn 2345-5853
2345-5861
publishDate 2017-01-01
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).
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
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