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    Author(s)

    Swati Sidana, PhD.
    R. K. Sharma, PhD. — Academia (Universities, Colleges and other higher learning entities) (Institute of Mechanics of NAS Armenia 24b Marshal Baghramian Ave. Yerevan 0019, Armenia)
    Category: Natural Sciences, Mathematics
    DOI: https://armjmath.sci.am/index.php/ajm/article/view/124
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      On the finite Loop Algebra of the smallestMoufang loopM(S3,2)

      Swati Sidana, PhD.
      R. K. Sharma, PhD. — Academia (Universities, Colleges and other higher learning entities) (Institute of Mechanics of NAS Armenia 24b Marshal Baghramian Ave. Yerevan 0019, Armenia)
      This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

      Submitted: 2024-12-18
      © 2026 by author(s) and The Gufo Inc.
      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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