On Armendariz rings.

By C. Bakkari, Najib Mahdou. 2009

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Rings with Property (A) and their extensions (2007, background): “Following Rege and Chhawchharia [25], a ring R is called Armendariz if a i b j = 0 for all i and j whenever polynomials f (x) = (cid:5) mi = 0 a i x i and g(x) = (cid:5) nj = 0 b j x j in R [ x ] satisfy f (x)g(x) = 0 (for more detail, see [13]).”
A UNIFIED APPROACH TO VARIOUS GENERALIZATIONS OF ARMENDARIZ RINGS (2010, unknown): “If R is S-compatible and ( S , ω) -Armendariz, and there exists s ∈ S \{ 1 } such that s m ≤ s n for some positive integers m n, then Combining R has been called weak Armendariz by Lee and Wong in [22], and linearly Armendariz by Camillo and Nielsen in [7].”