Ibn Al-Haitham Journal for Pure and Applied Sciences (Apr 2021)

Weak Pseudo – 2 – Absorbing Submodules And Related Concepts

  • Haibat K. Mohmmadal,
  • Sada E. Radeef

DOI
https://doi.org/10.30526/34.2.2615
Journal volume & issue
Vol. 34, no. 2
pp. 87 – 99

Abstract

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Let R be a commutative ring with identity and E be a unitary left R – module .We introduce and study the concept Weak Pseudo – 2 – Absorbing submodules as generalization of weakle – 2 – Absorbing submodules , where a proper submodule A of an R – module E is called Weak Pseudo – 2 – Absorbing if 0 ≠rsx A for r, s R , x E , implies that rx A + soc ( E ) or sx A + soc (E) or rs [ A + soc ( E ) E ]. Many basic properties, characterizations and examples of Weak Pseudo – 2 – Absorbing submodule in some types of modules are introduced .

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