Radicals in flip subalgebras of Matsuo algebras
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Publisher
Springer
Abstract
We develop methods for determining key properties (simplicity and the dimension of radical) of flip subalgebras in Matsuo algebras. These are interesting classes of commutative non-associative algebras that were introduced within the broader paradigm of axial algebras.
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Keywords
Axial algebras, Commutative non-associative algebras, Flip subalgebras, Matsuo algebras, Radicals
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Citation
Rodrigues, B.G., Shpectorov, S. Radicals in flip subalgebras of Matsuo algebras. Arabian Journal of Mathematics15, 365–383 (2026). https://doi.org/10.1007/s40065-025-00511-5.