Examples of Armendariz Rings

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12 Citations (Scopus)

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. © 2010 Copyright Taylor and Francis Group, LLC.
Original languageEnglish
Pages (from-to)4130-4143
JournalCommunications in Algebra
Volume38
Issue number11
DOIs
Publication statusPublished - 1 Nov 2010

Keywords

  • Armendariz rings
  • Polynomial rings

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