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Paper Information

Journal:   JOURNAL OF MATHEMATICAL EXTENSION   2018 , Volume 12 , Number 2; Page(s) 63 To 72.
 
Paper: 

J-Armendariz Rings

 
 
Author(s):  SANAEI M., SAHEBI SH.*, HAJ SEYYED JAVADI H.
 
* department of mathematics, central tehran azad university, tehran, iran
 
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.
 
Keyword(s): Armendariz ring,Weak Armendariz ring,JArmendariz ring,Perspective ring,Quasi duo-ring
 
References: 
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