Rings with commuting nilpotents and zero divisors

Abraham A. Klein, Howard E. Bell

Research output: Contribution to journalArticlepeer-review

Abstract

We explore the consequences of certain commutativity hypotheses on a single nilpotent element or the set N of all nilpotent elements. We give several sufficient conditions for N to be an ideal. We present some nontrivial examples, including an example in which N is commutative (in fact, N 2 = {0}) and N is not an ideal.

Original languageEnglish
Pages (from-to)73-85
Number of pages13
JournalResults in Mathematics
Volume51
Issue number1-2
DOIs
StatePublished - Dec 2007

Keywords

  • Commuting nilpotent elements
  • Commuting zero divisors

Fingerprint

Dive into the research topics of 'Rings with commuting nilpotents and zero divisors'. Together they form a unique fingerprint.

Cite this