On A Generalization of Weak Armendariz Rings
  We introduce the notion of J-Armendariz rings, which are a generalization of weak Armendariz rings and investigate their properties. We show that any local ring is J-Armendariz, and then fined a local ring that is not weak Armendariz. 
Mahboubeh Sanaei, Shervin Sahebi and Hamid H. S. Javadi
math.RA