IFP-injective, IFP-flat modules and localizations

Bo Lu () and Zhongkui Liu
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Bo Lu: Northwest University for Nationalities
Zhongkui Liu: Northwest Normal University

Indian Journal of Pure and Applied Mathematics, 2014, vol. 45, issue 6, 837-849

Abstract: Abstract IFP-injective modules act in ways similar to injective modules. In this paper, we first investigate the existence of IFP-injective covers. It is shown that over any ring R, IFP-injective cover always exists. Secondly, we prove that S −1 M is an IFP-injective S −1 R-module for any IFP-injective R-module M over any ring R.

Keywords: IFP-injective (flat) module; Pre(Cover); Localization; I-injective (flat) module; Pre(Envelope) (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s13226-014-0092-5

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