|
|||||
|
|
Prime Lie Rings of Derivations of Commutative Rings |
|
| Authors: | Mikhail A. Chebotar |
| Affiliation: | Department of Mathematical Science , Kent State University , Kent, Ohio, USA |
| Abstract: | Let R be a 2-torsion free commutative ring with identity, and δ a nonzero derivation of R such that R is δ-prime. Then Rδ is a prime Lie ring and any nonzero ideal of Rδ contains an ideal of the form Jδ where J is a nonzero δ-ideal of R. |
| Keywords: | Derivation Lie ring Prime δ-prime |