On $n$-derivations and Relations between Elements $r^{n}-r$ for Some $n$
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 62 (2014) no. 1, pp. 29-42.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 $[rs]=r^{n}[s]+s[r]$, $r,s \in R$.
DOI : 10.4064/ba62-1-4
Keywords: complete sets generating relations between elements n r these relations n derivation property

Maciej Maciejewski 1 ; Andrzej Prószyński 1

1 Kazimierz Wielki University 85-072 Bydgoszcz, Poland
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Maciej Maciejewski; Andrzej Prószyński. On $n$-derivations and Relations between
 Elements $r^{n}-r$ for Some $n$. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 62 (2014) no. 1, pp. 29-42. doi : 10.4064/ba62-1-4. http://geodesic.mathdoc.fr/articles/10.4064/ba62-1-4/

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