Blog

Let $ A\subset B$ be an injective homomorphism of noetherian integral domains s.t. $ B$ is finitely generated as $ A$ -module and $ A$ normal. Suppose that the normalization $ \bar B$ of $ B$ is finitely generated as $ A$ -module. And call $ F_A\subset F_B$ the induced extension of fraction fields. (i)Read more

In the book “An introduction to noncommutative Noetherian rings” by Goodearl and Warfield from 2004 one can find the following two open problem: Is the Krull dimension less than or equal to the global dimension of a noetherian ring? Is the global dimension of a noetherian ring equal to the supremum of the projective dimensionsRead more