We describe the Ziegler spectrum of a Bézout domain B= D + X Q[X] where D is a principal ideal domain and Q is its field of fractions; in particular we compute the Cantor-Bendixson rank of this space. Using this, we prove the decidability of the theory of B-modules when D is "sufficiently" recursive.
Decidability of modules over a Bézout domain D + X Q[X] with D a principal ideal domain and Q its fields of fractions
TOFFALORI, Carlo;
2014-01-01
Abstract
We describe the Ziegler spectrum of a Bézout domain B= D + X Q[X] where D is a principal ideal domain and Q is its field of fractions; in particular we compute the Cantor-Bendixson rank of this space. Using this, we prove the decidability of the theory of B-modules when D is "sufficiently" recursive.File in questo prodotto:
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