Finite Semisimple Loop Algebras of Indecomposable $RA$ Loops
Printed: Jun 2015
R. K. Sharma,
There are at the most seven classes of finite indecomposable $RA$ loops upto isomorphism. In this paper, we completely characterize the structure of the unit loop of loop algebras of these seven classes of loops over finite fields of characteristic greater than $2$.
unit loop, loop algebra, indecomposable $RA$ loops
20N05 - Loops, quasigroups [See also 05Bxx]
17D05 - Alternative rings