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On free MV algebras and a problem of Tarski.

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Title: On free MV algebras and a problem of Tarski.
Authors: Nola, Antonio Di1 adinola@unisa.it, Lenzi, Giacomo1, Vitale, Gaetano1 gvitale@unisa.it
Source: Mathematical Logic Quarterly. May2016, Vol. 62 Issue 3, p232-240. 9p.
Subjects: Algebra problems & exercises, Mathematics, Mathematical analysis, Free groups, Algebraic field theory
Abstract: In this paper we prove that the first order theories of the free MV algebras with finitely many generators are different from each other. This answers to the MV algebra analogue of a well-known (now solved) problem of Tarski for groups. [ABSTRACT FROM AUTHOR]
Copyright of Mathematical Logic Quarterly is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: In this paper we prove that the first order theories of the free MV algebras with finitely many generators are different from each other. This answers to the MV algebra analogue of a well-known (now solved) problem of Tarski for groups. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Mathematical Logic Quarterly is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1002/malq.201400106
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      – Code: eng
        Text: English
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      – SubjectFull: Mathematical analysis
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      – SubjectFull: Free groups
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      – SubjectFull: Algebraic field theory
        Type: general
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      – TitleFull: On free MV algebras and a problem of Tarski.
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            NameFull: Lenzi, Giacomo
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              Text: May2016
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