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GENERALIZED DERIVATIONS ON SEMIPRIME RINGS
- Source :
- Bulletin of the Korean Mathematical Society. 48:1253-1259
- Publication Year :
- 2011
- Publisher :
- The Korean Mathematical Society, 2011.
-
Abstract
- Let R be a prime ring, I a nonzero ideal of R and n a fixed positive integer. If R admits a generalized derivation F associated with a derivation d such that c for all x, . Then either R is commutative or n = 1, d = 0 and F is the identity map on R. Moreover in case R is a semiprime ring and for all x, , then either R is commutative or n = 1, , R contains a non-zero central ideal and for all .
Details
- ISSN :
- 10158634
- Volume :
- 48
- Database :
- OpenAIRE
- Journal :
- Bulletin of the Korean Mathematical Society
- Accession number :
- edsair.doi.dedup.....807faa6cbb393ce8472c4f667fd9cf0f