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Radicals in flip subalgebras (2409.05236v1)
Published 8 Sep 2024 in math.RA and math.GR
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.