Journals / Turkish Journal of Mathematics / 2000 / Cilt: 24 - Sayı: 3
On Generalized Higher Derivations
- Pages
- 295–311
- DOI
- —
Abstract
We define the notion of generalized higher derivations and give some elementary relations between generalized higher derivations and higher derivations in the usual sense. We extend the result of an exact sequence of the set of all derivations \text{Der}(A, M) and the set of all generalized derivations g\text{Der}(A, M) given in [N1, Theorem 2.4]. Moreover, we discuss generalized higher Jordan derivations and Lie derivations.
Özet
We define the notion of generalized higher derivations and give some elementary relations between generalized higher derivations and higher derivations in the usual sense. We extend the result of an exact sequence of the set of all derivations \text{Der}(A, M) and the set of all generalized derivations g\text{Der}(A, M) given in [N1, Theorem 2.4]. Moreover, we discuss generalized higher Jordan derivations and Lie derivations.