Prefer a chat interface with context about you and your work?
A unified approach to the Armendariz property of polynomial rings and power series rings
A ring $R$ is called Armendariz (resp., Armendariz of power series type) if, whenever $(\sum_{i\ge 0}a_ix^i)( \sum _{j\ge 0}b_jx^j)=0$ in $R[x]$ (resp., in $R[[x]]$), then $a_ib_j=0$ for all $i$ and $j$. This paper deals with a unified generalization of