On n-derivations and Relations between Elements rⁿ-r for Some n
Maciej Maciejewski ; Andrzej Prószyński
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 62 (2014), p. 29-42 / Harvested from The Polish Digital Mathematics Library
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We find complete sets of generating relations between the elements [r] = rⁿ - r for n=2l and for n = 3. One of these relations is the n-derivation property [rs] = rⁿ[s] + s[r], r,s ∈ R.

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:281316 
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     author = {Maciej Maciejewski and Andrzej Pr\'oszy\'nski},
     title = {On n-derivations and Relations between Elements rn-r for Some n},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     volume = {62},
     year = {2014},
     pages = {29-42},
     zbl = {1303.13013},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba62-1-4}
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Maciej Maciejewski; Andrzej Prószyński. On n-derivations and Relations between Elements rⁿ-r for Some n. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 62 (2014) pp. 29-42. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba62-1-4/