On a Conjecture on the weak global dimension of Gaussian rings

Mathematics – Commutative Algebra

Scientific paper

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Scientific paper

Bazzoni and Glaz conjecture that the weak global dimension of a Gaussian ring
is 0,1 or \infty. In this paper, we prove their conjecture in all cases except
when R is a non-reduced local Gaussian ring with nilradical $\mathcal{N}
satisfying $\mathcal{N}^2=0$.

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