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math.RA2024
Radicals in flip subalgebras
Bernardo G. Rodrigues, Sergey Shpectorov
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…
math.RA2024
Solid subalgebras in algebras of Jordan type half
I. Gorshkov, S. Shpectorov, A. Staroletov
The class of algebras of Jordan type was introduced by Hall, Rehren and Shpectorov in 2015 within the much broader class of axial algebras. Algebras of Jordan type are commutat…