J-Armendariz rings

Authors

  • Maboubeh Sanaei Islamic Azad University, Central Tehran branch
  • Shervin Sahebi
  • Hamid H. S. Javadi

DOI:

https://doi.org/10.30495/jme.v12i1.625

Keywords:

Armendariz ring, Weak Armendariz ring, J-Armendariz ring, Perspective ring, Quasi duo-ring

Abstract

We introduce the notion of J-Armendariz rings, which are
a generalization of weak Armendariz rings and investigate their proper-
ties. We show that local rings are J-Armendariz. Also, we prove that a
ring R is J-Armendariz if and only if R[[x]] is J-Armendariz. It is shown
that the J-Armendariz property is not Morita invariant. As a specic
case, we show that the class of J-Armendariz rings lies properly between
the class of one-sided quasi-duo rings and the class of perspective rings.

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Published

2018-02-27

Issue

Vol. 12

Section

Vol. 12, No. 2, (2018)

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