Finitistic Weak Dimension of Commutative Arithmetical Rings

Details Finitistic Weak Dimension of Commutative Arithmetical Rings Finitistic Weak Dimension of Commutative Arithmetical Rings

2011-05-30

arxiv.org/abs/1105.5960v1

Mathematics

Commutative Algebra

Scientific paper

It is proven that each commutative arithmetical ring $R$ has a finitistic
weak dimension $\leq 2$. More precisely, this dimension is 0 if $R$ is locally
IF, 1 if $R$ is locally semicoherent and not IF, and 2 in the other cases.

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