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Finitistic Weak Dimension of Commutative Arithmetical Rings

Published 30 May 2011 in math.AC | (1105.5960v1)

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

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