On MV-algebras of non-linear functions

نویسندگان
Di Nola, Antonio ID 1
Vitale, Gaetano ID 2
Lenzi, Giacomo ID 3

1 Department of Mathematics, University of Salerno, Via Giovanni Paolo II 132, I-84084 Fisciano (SA), Italy.

2 Department of Mathematics, University of Salerno, Via Giovanni Paolo II 132, I-84084 Fisciano (SA), Italy.

3 Department of Mathematics, University of Salerno, Via Giovanni Paolo II 132, I-84084 Fisciano (SA), Italy.

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چکیده

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).

کلیدواژه‌ها
MV-algebra, McNaughton function, Hopfian algebra