Pure Rick art Modules and Their Generalization

Ghaleb Ahmed

doi:https://doi.org/10.14445/22315373/IJMTT-V30P515

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 30 | Number 2 | Year 2016 | Article Id. IJMTT-V30P515 | DOI : https://doi.org/10.14445/22315373/IJMTT-V30P515

Pure Rick art Modules and Their Generalization

Ghaleb Ahmed

Abstract

Let R be a commutative ring with identity and M be an R-module. In this paper we introduce Pure Rickart modules and Pure -Rickart modules as a generalization of Rickart modules and -Rickart modules respectively. Also, Pure Rickart modules and Pure -Rickart modules can be viewed as a generalization of PF-rings and GPF-rings respectively.

Keywords

Pure Rickart modules,Pure -Rickart modules,regular modules, Pure submodules.

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Citation :

Ghaleb Ahmed, "Pure Rick art Modules and Their Generalization," International Journal of Mathematics Trends and Technology (IJMTT), vol. 30, no. 2, pp. 82-91, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V30P515