Weak-projective dimensions

Authors

MOHAMMAD JAVAD NIKMEHR
ZAHRA POORMAHMOOD
REZA NIKANDISH

DOI

10.3906/mat-0805-34

Abstract

In this paper, the notions of weak-projective modules and weak-projective dimension over commutative domain R are given. It is shown that over semisimple rings with weak global dimension 1, these modules are equivalent to weak-injective modules. The weak-projective dimension measures how far away a domain is from being a Prüfer domain. Several properties of these modules are also presented.

Keywords

Semi-Dedekind domain; Weak-injective modules; Weak- projective dimension, projective modules; Prüfer domain

First Page

627

Last Page

636

Recommended Citation

NIKMEHR, MOHAMMAD JAVAD; POORMAHMOOD, ZAHRA; and NIKANDISH, REZA (2011) "Weak-projective dimensions," Turkish Journal of Mathematics: Vol. 35: No. 4, Article 4. https://doi.org/10.3906/mat-0805-34
Available at: https://journals.tubitak.gov.tr/math/vol35/iss4/4