On the finite Loop Algebra of the smallest Moufang loop $M(S_3,2)$

Authors

  • Swati Sidana Institute of Mechanics of NAS Armenia 24b Marshal Baghramian Ave. Yerevan 0019, Armenia
  • R. K. Sharma Institute of Mechanics of NAS Armenia 24b Marshal Baghramian Ave. Yerevan 0019, Armenia

Abstract

Let $F[L]$ be a loop algebra of a loop $L$ over a field $F$. In this paper, we obtain the unit loop of the loop algebra $F[L],$ where $L$ is the smallest Moufang loop $M(S_3,2)$ and $F$ is a finite field of characteristic different from $3$.

 

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Published

2016-06-07

Issue

Vol. 8 No. 1 (2016)

Section

Articles

How to Cite

[1]
S. Sidana and R. K. Sharma, “On the finite Loop Algebra of the smallest Moufang loop $M(S_3,2)$”, Armen.J.Math., vol. 8, no. 1, pp. 68–76, Jun. 2016, Accessed: Jan. 22, 2025. [Online]. Available: https://armjmath.sci.am/index.php/ajm/article/view/124