I-pure Submodules, I-FP-injective Modules and I-flat Modules

Zhanmin Zhu

doi:10.9734/BJMCS/2015/16451

Research Article Open access CC BY 4.0

I-pure Submodules, I-FP-injective Modules and I-flat Modules

Zhanmin Zhu

Journal of Advances in Mathematics and Computer Science · pp. 170–188 · Published 27 Mar 2015

10.9734/BJMCS/2015/16451

Abstract

Let R be a ring and I an ideal of R. We define and study I-pure submodules , I-FP-injective modules, I-flat modules , I-coherent rings and I-semihereditary rings. Using the concepts of I-FP-injectivity and I-flatness of modules, we also present some characterizations of I-coherent rings and I-semihereditary rings.

I-pure submodules I-FP-injective modules I-flat modules I-coherent rings I-semihereditary rings

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Zhanmin Zhu (2015). I-pure Submodules, I-FP-injective Modules and I-flat Modules. Journal of Advances in Mathematics and Computer Science , 170–188. https://doi.org/10.9734/BJMCS/2015/16451

Affiliations

Zhanmin Zhu — Department of Mathematics, Jiaxing University, Jiaxing, Zhejiang Province, 314001, P.R. China.

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