On $n$-derivations and Relations between Elements $r^{n}-r$ for Some $n$
Volume 62 / 2014
Bulletin Polish Acad. Sci. Math. 62 (2014), 29-42
MSC: 13C13, 13C05, 11E76.
DOI: 10.4064/ba62-1-4
Abstract
We find complete sets of generating relations between the elements $[r]=r^n-r$ for $n=2^l$ and for $n=3$. One of these relations is the $n$-derivation property $[rs]=r^{n}[s]+s[r]$, $r,s \in R$.
