Some Properties of GP-Flat Modules

WANG Xiu-jian; GAN De-jun; HUANG Xin-yu; .LI Fu-jun

doi:10.12152/j.issn.1672-2868.2019.06.009

Journal of Chaohu University >

2019 , Vol. 21 >Issue 6: 65 - 69

DOI: https://doi.org/10.12152/j.issn.1672-2868.2019.06.009

Some Properties of GP-Flat Modules

WANG Xiu-jian ,
GAN De-jun ,
HUANG Xin-yu ,
.LI Fu-jun

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1.School of Applied Mathematics, West Anhui University;2. Anhui Education Pres

WANG Xiu-jian：School of Applied Mathematics, West Anhui University

Received date: 2019-09-02

Online published: 2019-11-25

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Abstract

Firstly, GP-flat modules which are more widely than flat modules are introduced in the paper, the equivalent characterization of GP-flat modules, direct product and direct sum, and the relation of GP-flat modules and GP-injective modules are discussed. Secondly, some special rings are discussed by GP-flat modules. Finally,we described GP-flat dimensions and discussed some relations between GP-flat dimensions and GP-regular rings and IGPF rings.

Key words： GP-flat modules; GP-coherent rings; flat modules; GP-injective modules

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WANG Xiu-jian , GAN De-jun , HUANG Xin-yu , .LI Fu-jun . Some Properties of GP-Flat Modules[J]. Journal of Chaohu University, 2019 , 21(6) : 65 -69 . DOI: 10.12152/j.issn.1672-2868.2019.06.009

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