We consider pseudofinite MV-algebras. As a main result, we show that an infinite MV-algebra is pseudofinite if and only if it is definably well founded, improving a result of a previous paper. Moreover, we show that the theory of pseudofinite MV-algebras has a partial form of elimination of quantifiers. Further, we show that the class of pseudofinite MV-chains and the class of pseudofinite MV-algebras are not finitely axiomatizable, we give some collapsing results for pseudofinite MV-algebras, we consider relative subalgebras of pseudofinite MV-algebras, and we study ideals of pseudofinite MV-algebras.

中文翻译：

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伪有限MV代数的刻画

我们考虑伪有限MV代数。作为一个主要的结果，我们证明了无限的MV-代数是伪伪的，当且仅当它具有确定的良好基础时，才改进了前一篇论文的结果。此外，我们表明伪有限MV代数理论具有消除量词的部分形式。此外，我们证明了伪有限MV链的类别和伪有限MV代数的类别不是可公理的，我们给出了伪有限MV代数的一些崩溃结果，我们考虑了伪有限MV代数的相对子代数，并研究了理想伪有限MV代数。