Exploració per tema "Ideal of linear type"
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Noetherian rings of low global dimension and syzygetic prime ideals
(2021-02-01)
Article
Accés obertLet R be a Noetherian ring. We prove that R has global dimension at most two if, and only if, every prime ideal of R is of linear type. Similarly, we show that R has global dimension at most three if, and only if, every ... -
Rings of weak dimension 1 and syzygetic ideals
(1996)
Article
Accés obertWe prove that rings of weak dimension one are the rings with all (three-generated) ideals syzygetic. This leads to a characterization of these rings in terms of the Andr\'e-Quillen homology.