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 language | English |
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Pages (from-to) | 291-296 |
Number of pages | 6 |
Journal | Studia Scientiarum Mathematicarum Hungarica |
Volume | 44 |
Issue number | 2 |
DOIs | |
State | Published - Apr 2007 |
Keywords
- Commutator ideal
- Noetherian ring
- Non-central subring of zero divisors
- Periodic ring
- Unique factorization domain