Conditions for rings to be finite or have only central zero divisors

Abraham A. Klein, Howard E. Bell

Research output: Contribution to journalArticlepeer-review

Abstract

We characterize rings having only finitely many noncentral subrings of zero divisors, and rings in which every proper noncentral subring of zero divisors is finite.

Original languageEnglish
Pages (from-to)291-296
Number of pages6
JournalStudia Scientiarum Mathematicarum Hungarica
Volume44
Issue number2
DOIs
StatePublished - Apr 2007

Keywords

  • Commutator ideal
  • Noetherian ring
  • Non-central subring of zero divisors
  • Periodic ring
  • Unique factorization domain

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