We construct various examples of Armendariz and related rings by reviewing and extending some results concerning the structure of nil(R). In particular, we give some examples of Armendariz rings related to power series rings and an example of an n-Armendariz ring, for all n ≥ 1, which is not Armendariz. © 2010 Copyright Taylor and Francis Group, LLC.
- Armendariz rings
- Polynomial rings