Title of article :
Copresented Dimension of Modules
Author/Authors :
Amini, M Department of Mathematics - Payame Noor University, Tehran, Iran , Hassani, F Department of Mathematics - Payame Noor University, Tehran, Iran
Abstract :
In this paper, a new homological dimension of modules, co-
presented dimension, is defined. We study some basic properties of this
homological dimension. Some ring extensions are considered, too. For
instance, we prove that if S ≥ R is a finite normalizing extension and
SR is a projective module, then for each right S-module MS, the cop-
resented dimension of MS does not exceed the copresented dimension of
HomR(S,M).
Keywords :
Projective module , Copresented dimension , Coherent ring
