We describe the Ziegler spectrum of a Bézout domain B = D+XQ[X] where D is a principal ideal domain and Q is its field of fractions, in particular we ccompute the Cantor-Bendixson rank of the 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+XQ[X] with D a principal ideal domain and Q its field of fractions
TOFFALORI, Carlo
2014-01-01
Abstract
We describe the Ziegler spectrum of a Bézout domain B = D+XQ[X] where D is a principal ideal domain and Q is its field of fractions, in particular we ccompute the Cantor-Bendixson rank of the 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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