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IFP-injective, IFP-flat modules and localizations

Author

Listed:
  • Bo Lu

    (Northwest University for Nationalities
    Northwest Normal University)

  • Zhongkui Liu

    (Northwest Normal University)

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.

Suggested Citation

  • Bo Lu & Zhongkui Liu, 2014. "IFP-injective, IFP-flat modules and localizations," Indian Journal of Pure and Applied Mathematics, Springer, vol. 45(6), pages 837-849, December.
    • Handle: RePEc:spr:indpam:v:45:y:2014:i:6:d:10.1007_s13226-014-0092-5
    DOI: 10.1007/s13226-014-0092-5
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