학술저널
JORDAN HIGHER LEFT DERIVATIONS AND COMMUTATIVITY IN PRIME RINGS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 23, No. 4
-
2010.12741 - 748 (8 pages)
- 2
Let R be a 2-torsionfree prime ring. Our goal in this note is to show that the existence of a nonzero Jordan higher left derivation on R implies R is commutative. This result is used to prove a noncommutative extension of the classical Singer-Wermer theorem in the sense of higher derivations.
1. Preliminaries
2. Main results
References
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