Shahid Beheshti University Categories and General Algebraic Structures with Applications 2345-5853 6 Speical Issue on the Occasion of Banaschewski's 90th Birthday (I) 2017 01 01 On MV-algebras of non-linear functions 107 120 40443 EN Antonio Di Nola Department of Mathematics, University of Salerno, Via Giovanni Paolo II 132, I-84084 Fisciano (SA), Italy. Giacomo Lenzi Department of Mathematics, University of Salerno, Via Giovanni Paolo II 132, I-84084 Fisciano (SA), Italy. Gaetano Vitale Department of Mathematics, University of Salerno, Via Giovanni Paolo II 132, I-84084 Fisciano (SA), Italy. Journal Article 2016 09 05 In this paper, the main results are:<br />a study of the finitely generated MV-algebras of continuous functions from the n-th power of the unit real interval I to I;<br />a study of Hopfian MV-algebras; and<br />a 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).

https://cgasa.sbu.ac.ir/article_40443_c18b8b2c7dd7e06904930c09a08f4a60.pdf