On the finite Loop Algebra of the smallestMoufang loopM(S3,2)

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On the finite Loop Algebra of the smallestMoufang loopM(S3,2) Swati Sidana

LetF[L] be a loop algebra of a loopLover a fieldF. In this paper, we obtain the unit loop of the loop algebraF[L],whereLis the smallest Moufang loopM(S3,2) andFis afinite field of characteristic different from 3

DOI: https://armjmath.sci.am/index.php/ajm/article/view/124 Armenian Journal of Mathematics, 8(1) 68-76

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Keywords

Loop Algebra, Smallest Moufang Loop, Zorn’s Algebra, UnitLoop

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