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.

Minimal affine varieties of superalgebras with superinvolution: A characterization

Di Vincenzo, Onofrio M.;
2024-01-01

Abstract

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.
2024
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11563/192175
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