A unified approach to the Armendariz property of polynomial rings and power series rings
Tsiu-Kwen Lee, Yiqiang Zhou (2008)
Colloquium Mathematicae
Similarity:
A ring R is called Armendariz (resp., Armendariz of power series type) if, whenever in R[x] (resp., in R[[x]]), then for all i and j. This paper deals with a unified generalization of the two concepts (see Definition 2). Some known results on Armendariz rings are extended to this more general situation and new results are obtained as consequences. For instance, it is proved that a ring R is Armendariz of power series type iff the same is true of R[[x]]. For an injective endomorphism...