AU - Amini, M.
AU - Hassani, F.
TI - Copresented Dimension of Modules
PT - JOURNAL ARTICLE
TA - IJMSI
JN - IJMSI
VO - 14
VI - 2
IP - 2
4099 - http://ijmsi.ir/article-1-1036-en.html
4100 - http://ijmsi.ir/article-1-1036-en.pdf
SO - IJMSI 2
ABĀ - In this paper, a new homological dimension of modules, copresented dimension, is defined. We study some basic properties of this homological dimension. Some ring extensions are considered, too. For instance, we prove that if $Sgeq R$ is a finite normalizing extension and $S_R$ is a projective module, then for each right $S$-module $M_S$, the copresented dimension of $M_S$ does not exceed the copresented dimension of $Hom_{R}(S,M)$.
CP - IRAN
IN - Department of Mathematics, Payam Noor University
LG - eng
PB - IJMSI
PG - 139
PT - Research paper
YR - 2019