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 …

Archive of SID www.SID.ir Page 1 The Extended Abstracts of the 44th Annual Iranian
Mathematics Conference 27-30 August 2013, Ferdowsi University of Mashhad, Iran. ON NEAR …

We introduce the notion of linear⋆-Armendariz ideals and⋆-Armendariz ideals which are
extension of Armendariz rings. Some properties and examples of this extension are given …

We say a left ideal I is a near Armendariz whenever polynomials (x) f= f0+ f1x+...+ fmxm,(x)
g= g0+ g1x+...+ gnxn∈ R [x] satisfy (x) fo (x) g∈ rR [x](I [x]) then gjfi∈ rR (I) for each 1≤ i≤ …

In this paper, the notion of central Armendariz rings relative to a monoid is introduced which
is a generalization of central Armendariz rings and investigate their properties. It is shown …

arXiv:1410.1331v1 [math.RA] 6 Oct 2014 Page 1 arXiv:1410.1331v1 [math.RA] 6 Oct 2014 On
A Generalization of Weak Armendariz Rings Mahboubeh Sanaei ∗, Shervin Sahebi ∗∗ and …