We exhibit a class C of finite dimensional algebras with superinvolution over an algebraically closed field of characteristic zero, with the remarkable property that each member of C generates a minimal variety of algebras with superinvolution. This sums up to the fact that any affine minimal variety of algebras with superinvolution is generated by a suitable member of C, thus providing a complete characterization of the affine minimal varieties of algebras with superinvolution.
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Vincenzo et al. (2024) studied this question.
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