On commutative subloops of the loop of invertible elements in the split octonion algebra over a field of characteristic 2

A loop X is said to be commutative if x2(yz) = (xy)(xz) for all x, y, z 2 X. In the paper, commutative subloops of the Moufang loop of invertible elements in the split octonion algebra over a field of characteristic 2 are described.

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Publication Details

Journal
Quasigroups and Related Systems
Published
2025-04-01
DOI
https://doi.org/10.56415/qrs.v32.15
Primary Topic
Advanced Topics in Algebra
Type
article
Field-Weighted Citation Impact
0.00
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article

On commutative subloops of the loop of invertible elements in the split octonion algebra over a field of characteristic 2

Evgeny K. Bashkirov
Quasigroups and Related Systems
Advanced Topics in Algebra
article

On commutative subloops of the loop of invertible elements in the split octonion algebra over a field of characteristic 2

Evgeny K. Bashkirov
article en

Abstract

A loop X is said to be commutative if x2(yz) = (xy)(xz) for all x, y, z 2 X. In the paper, commutative subloops of the Moufang loop of invertible elements in the split octonion algebra over a field of characteristic 2 are described.

Quasigroups and Related SystemsVol. 32(2(52))
Openalex Percentile: Top 85%
Advanced Topics in Algebra
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On commutative subloops of the loop of invertible elements in the split octonion algebra over a field of characteristic 2 — Evgeny K. Bashkirov · Quasigroups and Related Systems (2025) | TGRS Research Map | TGRS