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Diophantine properties of finite commutative rings

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Abstract.

 Simple observations on diophantine definability over finite commutative rings lead to a characterization of those rings in terms of their diophantine behavior.

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Authors and Affiliations

  1. Institut für Mathematik und Informatik Universität Greifswald, F.-L.-Jahn-Str. 15a, 17487 Greifswald, Germany. e-mail: prunescu@mail.uni-greifswald.de; and IMAR Bucharest, Romania., , , , , , RO

    Mihai Prunescu

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  1. Mihai Prunescu
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Received: 28 March 2001 / Published online: 12 July 2002

Mathematics Subject Classification (2000): 13M10, 11T06, 03G99

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Prunescu, M. Diophantine properties of finite commutative rings. Arch. Math. Logic 42, 293–302 (2003). https://doi.org/10.1007/s001530100130

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  • DOI: https://doi.org/10.1007/s001530100130

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