Ibn Al-Haitham Journal for Pure and Applied Sciences (Mar 2017)

2-Regular Modules II

  • Nuhad S.AL-Mothafar,
  • Ghaleb A. Humod

Journal volume & issue
Vol. 28, no. 3

Abstract

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An R-module M is called a 2-regular module if every submodule N of M is 2-pure submodule, where a submodule N of M is 2-pure in M if for every ideal I of R, I2MN = I2N, [1]. This paper is a continuation of [1]. We give some conditions to characterize this class of modules, also many relationships with other related concepts are introduced.

Keywords