Open Access. Powered by Scholars. Published by Universities.®

Education Commons™

Open Access. Powered by Scholars. Published by Universities.®

2009

Series

Physical Sciences and Mathematics

Georgia Southern University

Homological dimension

Articles 1 - 1 of 1

Full-Text Articles in Education

Homological Dimensions And Regular Rings, Alina Iacob, Srikanth B. Iyengar Nov 2009

Homological Dimensions And Regular Rings, Alina Iacob, Srikanth B. Iyengar

Department of Mathematical Sciences Faculty Publications

A question of Avramov and Foxby concerning injective dimension of complexes is settled in the affirmative for the class of noetherian rings. A key step in the proof is to recast the problem on hand into one about the homotopy category of complexes of injective modules. Analogous results for flat dimension and projective dimension are also established.

Go to article