Affiliation:
1. Payame Noor University (PNU), Department of Mathematics, Iran
Abstract
Let R be a commutative Noetherian ring with non-zero identity, a and b
proper ideals of R,M a finitely generated R-module with finite
projective dimension, and X a finitely generated R-module. We study the
cohomological dimensions of M and X with respect to a + b and a ? b. We
show that the inequality cda+b(M,X) ? cda(M,X) + cdb(X) holds true and
we find an equivalent condition for it to be equality.
Publisher
National Library of Serbia