Dergiler / International Electronic Journal of Algebra / 2014 / Cilt: 15 - Sayı: 15

DP-PROJECTIVE MODULES AND DIMENSIONS

Tiwei ZHAO

Sayfa
101–116
DOI
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Abstract

In this paper, we introduce the notion of DP-projective modules. It is shown that a left R-module M over a ring R is DP-projective if and only if it is a cokernel of a Ding projective preenvelope f : A → B with B projective. It is also shown that a ring R is semisimple if and only if every module is DP-projective. Moreover, we investigate (global) DP-projective dimensions of modules and rings. It is shown that l.DP-dim(R) = l.DP-ID(R). In addition, other applications of those dimensions defined in this way are presented.