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

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CC BY-NC 4.0 This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

Abstract

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

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