DP-PROJECTIVE MODULES AND DIMENSIONS

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.

Keywords:

DP-projective module, semisimple ring DP-projective dimension,

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International Electronic Journal of Algebra-Cover

ISSN: 1306-6048
Yayın Aralığı: Yılda 2 Sayı
Başlangıç: 2007
Yayıncı: Abdullah HARMANCI

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