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ON RINGS RADICAL OVER COMMUTATIVE SUBRINGS
- Source :
- Mathematics of the USSR-Sbornik. 12:511-520
- Publication Year :
- 1970
- Publisher :
- IOP Publishing, 1970.
-
Abstract
- The following theorem is proved. If a ring R is radical over a commutative subring K, then all the nilpotent elements of R generate a null-ideal T for which the corresponding factor ring is commutative. An affirmative answer is thus provided for a question raised by Faith. Bibliography: 5 items.
Details
- ISSN :
- 00255734
- Volume :
- 12
- Database :
- OpenAIRE
- Journal :
- Mathematics of the USSR-Sbornik
- Accession number :
- edsair.doi...........9e22fdd88cf3fb4c1fe5be02433d184a
- Full Text :
- https://doi.org/10.1070/sm1970v012n04abeh000934