Weak Pseudo – 2 – Absorbing Submodules And Related Concepts

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Haibat K. Mohmmadal
Sada E. Radeef

Abstract

      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 .

Article Details

How to Cite
Mohmmadal, H. K., & Radeef, S. E. (2021). Weak Pseudo – 2 – Absorbing Submodules And Related Concepts. Ibn AL-Haitham Journal For Pure and Applied Sciences, 34(2), 87–99. https://doi.org/10.30526/34.2.2615
Section
mathematics