Let $$F[L]$$ be the loop algebra of the loop $$L$$ over the field $$F$$ . In this paper, we characterize the unit loop $$\mathcal{U }(F[L])$$ of the loop algebras $$F[L]$$ of $$RA$$ loops $$L$$ of order 32 over a finite field $$F$$ .
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