ON THE MIN-PROJECTIVE MODULES

Year 2012, Volume: 11 Issue: 11, 1 - 11, 01.06.2012

M. Amini A. Farajzadeh S. Bayati

Abstract

Let R be a commutative ring. An R-module M is called minprojective
if Ext1R(M,RI) = 0, for every simple ideal I. In this paper, we first
give some results of min-projective R-modules on the some specific rings such
as cotorsion rings, von Neumann regular rings and coherent rings. Then we
investigate min-projective covers on universally min-projective rings. Finally,
we deal with some characterizations of min-projective modules over a perfect
ring.

Keywords

min-projective modules, min-flat modules, universally min-projective rings

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• Department of Mathematics Faculty of Science Payame Noor University Sonqor, Iran e-mail: [e-mail] A. Farajzadeh
• Islamic Azad university Kermanshah Branch, Iran e-mail: [e-mail] S. Bayati
• Department of Mathematics Faculty of Science Payame Noor University Sonqor, Iran e-mail: [e-mail]