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IFP-injective, IFP-flat modules and localizations

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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.

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Authors and Affiliations

  1. College of Mathematics and Computer Science, Northwest University for Nationalities, Lanzhou, Gansu, 730 124, China

    Bo Lu

  2. Department of Mathematics, Northwest Normal University, Lanzhou, Gansu, 730070, China

    Bo Lu & Zhongkui Liu

Authors
  1. Bo Lu
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  2. Zhongkui Liu
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Corresponding author

Correspondence to Bo Lu.

Additional information

This research was supported by National Natural Science Foundation of China (No.11201376, 11261050).

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Lu, B., Liu, Z. IFP-injective, IFP-flat modules and localizations. Indian J Pure Appl Math 45, 837–849 (2014). https://doi.org/10.1007/s13226-014-0092-5

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  • DOI: https://doi.org/10.1007/s13226-014-0092-5

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