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Decidability of the theory of modules over Prufer domains with infinite residue fields

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 Added by Lorna Gregory
 Publication date 2017
  fields
and research's language is English




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We provide algebraic conditions ensuring the decidability of the theory of modules over effectively given Prufer (in particular Bezout) domains with infinite residue fields in terms of a suitable generalization of the prime radical relation. For B{e}zout domains these conditions are also necessary.



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