Finitistic Weak Dimension of Commutative Arithmetical Rings
published by Francois Couchot
in 2011
and research's language is
English
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Abstract in English
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.