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Examples of Armendariz Rings |
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| Authors: | Ramon Antoine |
| Institution: | 1. Universitat Autónoma de Barcelona , Bellaterra, Spain ramon@mat.uab.cat |
| Abstract: | 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. |
| Keywords: | Armendariz rings Polynomial rings |