2019
Том 71
№ 9

# Generalized higher derivations on algebras

Fošner A.

Abstract

We study the structure of generalized higher derivations on an algebra ${\scr A}$ and show that there exists a one-to-one correspondence between the set of all generalized higher derivations $\{ G_k\}^n_{k =0}$ on ${\scr A}$ with $G_0 = I$ and the set of all sequences $\{ g_k\}^n_{k = 0}$ of generalized derivations on ${\scr A}$ with $g_0 = 0$.

Citation Example: Fošner A. Generalized higher derivations on algebras // Ukr. Mat. Zh. - 2017. - 69, № 10. - pp. 1429-1436.

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