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<p>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.</p>

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Radicals in flip subalgebras of Matsuo algebras

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年5月31日

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  • B. G. Rodrigues,
  • S. Shpectorov

摘要

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.