The structure of tilting modules over valuation domains R is investigated. It is proved that the S-divisible modules $\delta_S$ introduced by Fuchs-Salce are canonical generators for the tilting torsion classes over valuation domains, assuming V=L and that the cardinality of the pure-injective hull of R is at most the continuum when the tilting generator has uncountable rank.
Tilting modules over valuation domains
SALCE, LUIGI
2004
Abstract
The structure of tilting modules over valuation domains R is investigated. It is proved that the S-divisible modules $\delta_S$ introduced by Fuchs-Salce are canonical generators for the tilting torsion classes over valuation domains, assuming V=L and that the cardinality of the pure-injective hull of R is at most the continuum when the tilting generator has uncountable rank.File in questo prodotto:
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