Strongly right alternative rings and Bol loops
Rings and Algebras
2025-09-10 v2 Group Theory
Abstract
We partially answer two questions of Goodaire by showing that in a finite, strongly right alternative ring, the set of units (if the ring is with unity) is a Bol loop under ring multiplication, and the set of quasiregular elements is a Bol loop under "circle" multiplication.
Keywords
Cite
@article{arxiv.math/0508005,
title = {Strongly right alternative rings and Bol loops},
author = {Michael Kinyon and J. D. Phillips},
journal= {arXiv preprint arXiv:math/0508005},
year = {2025}
}
Comments
5 pages, AMS-LaTeX