Homological dimension of Ore-extensions
N.S. Gopalakrishnan, Ramaiyengar Sridharan · Pacific Journal of Mathematics · 1966
Let £ be a ring with unit element and let R -S{x, d} be the Ore-extension of £ with respect to a derivation d of S. Our object in this paper is to show that I. gl.dim R = 1 + l.gl.άimS, if 5 is a commutative Noetherian ring and d is suitably restricted.