Relations between Elements $r^{2}-r$

Volume 55 / 2007

Andrzej Prószy/nski Bulletin Polish Acad. Sci. Math. 55 (2007), 317-323 MSC: 13C13, 13C05, 11E76. DOI: 10.4064/ba55-4-3


We prove that generating relations between the elements $[r]=r^{2}-r$ of a commutative ring are the following: $[r+s]=[r]+[s]+rs[2]$ and $[rs]=r^{2}[s]+s[r]$.


  • Andrzej Prószy/nskiKazimierz Wielki University
    85-072 Bydgoszcz, Poland

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