ON A GENERALIZATION OF WEAK M-ARMENDARIZ RINGS

Authors

  • Mahya Derakhshan Islamic Azad University, Central Tehran branch
  • shervin sahebi Islamic Azad University, Central Tehran branch
  • Mansoureh Deldar IslamicAzad University, Central Tehran branch

DOI:

https://doi.org/10.30495/jme.v14i0.1032

Keywords:

J-Armendariz rings, J- M-Armendariz rings, reduced rings, Weak-M-Armendariz rings.

Abstract

For a ring R and a monoidM, we introduce J-M-Armendariz rings which are a generalization of weak M-Armendariz and J-Armendariz rings, and we investigate their properties. We prove that if R J(R) is a reduced ring and R is a J-M-Armendariz ring, then R is J-M N-Armendariz, where N is a unique product monoid. It is also shown that a nitely generated Abelian group G is torsion free if and only if there exists a ring R such that R is G-J-Armendariz.

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Published

2019-04-10

Issue

Vol. 14

Section

Vol. 14, No. 1, (2020)

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