Title of article :
J-Armendariz Rings
Author/Authors :
Sanaei, M Islamic Azad University - Central Tehran Branch , Sahebi, Sh Islamic Azad University - Central Tehran Branch , Haj Seyyed Javadi, H Shahed University
Abstract :
We introduce the notion of J-Armendariz rings, which are
a generalization of weak Armendariz rings and investigate their properties.
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 specific
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.
Keywords :
Armendariz ring , Weak Armendariz ring , JArmendariz ring , Perspective ring , Quasi duo-ring
Journal title :
Astroparticle Physics
