Strongly right alternative rings and Bol loops

Details Strongly right alternative rings and Bol loops Strongly right alternative rings and Bol loops

2005-07-30

arxiv.org/abs/math/0508005v1

Mathematics

Rings and Algebras

5 pages, AMS-LaTeX

Scientific paper

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.

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