Geodesic
On $n$-derivations and Relations between Elements $r^{n}-r$ for Some $n$
Maciej Maciejewski 1   ; Andrzej Prószyński 1
1 Kazimierz Wielki University 85-072 Bydgoszcz, Poland
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 62 (2014) no. 1, pp. 29-42 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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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     title = {On $n$-derivations and {Relations} between
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     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
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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

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