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Derivations with engel conditions in prime and semiprime rings
- Source :
- Czechoslovak Mathematical Journal. 61:1135-1140
- Publication Year :
- 2011
- Publisher :
- Institute of Mathematics, Czech Academy of Sciences, 2011.
-
Abstract
- Let R be a prime ring, I a nonzero ideal of R, d a derivation of R and m, n fixed positive integers. (i) If (d[x, y])m = [x, y]n for all x, y ∈ I, then R is commutative. (ii) If Char R ≠ 2 and [d(x), d(y)]m = [x, y]n for all x, y ∈ I, then R is commutative. Moreover, we also examine the case when R is a semiprime ring.
Details
- ISSN :
- 15729141 and 00114642
- Volume :
- 61
- Database :
- OpenAIRE
- Journal :
- Czechoslovak Mathematical Journal
- Accession number :
- edsair.doi...........ffd77ed50ec1ba189c03e3823a394a10