Volume 14, Issue 2 (10-2019)                   IJMSI 2019, 14(2): 139-151 | Back to browse issues page

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Abstract:  

 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 $Hom_{R}(S,M)$.

Type of Study: Research paper | Subject: Special