2004/05/27 by Henrik Holm, Holm, Henrik, Peter Jorgensen +1
Mathematics · #13D05 #13D25 #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #msc:13D05 #msc:13D25
paper · pdf · doi:10.48550/arxiv.math/0405523
18 pages
arxiv created 2004/05/27 · arxiv updated 2009/12/01
We define three new homological dimensions - Cohen-Macaulay injective, projective, and flat dimension - which inhabit a theory similar to that of classical injective, projective, and flat dimension. Finiteness of the new dimensions characterizes Cohen-Macaulay rings with dualizing modules.