Relations between Elements $r^{2}-r$
Volume 55 / 2007
Bulletin Polish Acad. Sci. Math. 55 (2007), 317-323
MSC: 13C13, 13C05, 11E76.
DOI: 10.4064/ba55-4-3
Abstract
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 $[rs]=r^{2}[s]+s[r]$.
