%0 Journal Article %T On MV-algebras of non-linear functions %J Categories and General Algebraic Structures with Applications %I Shahid Beheshti University %Z 2345-5853 %A Di Nola, Antonio %A Lenzi, Giacomo %A Vitale, Gaetano %D 2017 %\ 01/01/2017 %V 6 %N Speical Issue on the Occasion of Banaschewski's 90th Birthday (I) %P 107-120 %! On MV-algebras of non-linear functions %K MV-algebra %K McNaughton function %K Hopfian algebra %R %X 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). %U https://cgasa.sbu.ac.ir/article_40443_c18b8b2c7dd7e06904930c09a08f4a60.pdf