Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, Vol. 30, No. 1, pp. 27-42 (2014)

Finite loop algebras of RA loops of order 64

Swati Sidana and R. K. Sharma

Indian Institute of Technology

Abstract: Let F[L] be the loop algebra of an RA loop L over a finite field F. The structure of the unit loop of the loop algebra F[L] when L is an RA loop of order 64 and char(F)>0 have been obtained.

Keywords: Unit Loop, Loop Algebra, Alternative Loop Ring, Moufang Loop

Classification (MSC2000): 20N05; 17D05

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