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Boolean Valued Dedekind Domains

โœ Scribed by Hirokazu Nishimura


Publisher
John Wiley and Sons
Year
1991
Tongue
English
Weight
678 KB
Volume
37
Category
Article
ISSN
0044-3050

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A Dedekind domain R is called small if card(R) 6 2 ! and card(Spec(R)) 6 !. Assuming G odel's Axiom of Constructibility (V = L), we characterize tilting modules over small Dedekind domains. In particular, we prove that under V = L, a class of modules, T , is a tilting torsion class i there is a set

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## Abstract In conventional generalization of the main results of classical measure theory to Stone algebra valued measures, the values that measures and functions can take are Booleanized, while the classical notion of a ฯƒโ€field is retained. The main purpose of this paper is to show by abundace of