On -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.