On n-derivations and Relations between Elements rⁿ-r for Some n

Maciej Maciejewski, and Andrzej Prószyński. "On n-derivations and Relations between Elements rⁿ-r for Some n." Bulletin of the Polish Academy of Sciences. Mathematics 62.1 (2014): 29-42. <http://eudml.org/doc/281316>.

@article{MaciejMaciejewski2014,
abstract = {We find complete sets of generating relations between the elements [r] = rⁿ - r for $n = 2^l$ and for n = 3. One of these relations is the n-derivation property [rs] = rⁿ[s] + s[r], r,s ∈ R.},
author = {Maciej Maciejewski, Andrzej Prószyński},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {ideals of commutative rings; generators and relations; higher degree mappings},
language = {eng},
number = {1},
pages = {29-42},
title = {On n-derivations and Relations between Elements rⁿ-r for Some n},
url = {http://eudml.org/doc/281316},
volume = {62},
year = {2014},
}

TY - JOUR
AU - Maciej Maciejewski
AU - Andrzej Prószyński
TI - On n-derivations and Relations between Elements rⁿ-r for Some n
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2014
VL - 62
IS - 1
SP - 29
EP - 42
AB - We find complete sets of generating relations between the elements [r] = rⁿ - r for $n = 2^l$ and for n = 3. One of these relations is the n-derivation property [rs] = rⁿ[s] + s[r], r,s ∈ R.
LA - eng
KW - ideals of commutative rings; generators and relations; higher degree mappings
UR - http://eudml.org/doc/281316
ER -