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A+ CATEGORY SCIENTIFIC UNIT

On -derivations and Relations between Elements r^{n}-r for Some n

Volume 62 / 2014

Maciej Maciejewski, Andrzej Prószyński 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.

Authors

  • Maciej MaciejewskiKazimierz Wielki University
    85-072 Bydgoszcz, Poland
    e-mail
  • Andrzej PrószyńskiKazimierz Wielki University
    85-072 Bydgoszcz, Poland
    e-mail

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