We introduce a class of finite-dimensional superalgebras over an algebraically closed field of characteristic zero, whose Grassmann envelopes generate all ∗-minimal varieties. Moreover, we prove that any affine minimal variety of superalgebras with superinvolution is generated by a suitable element in this selected class.

Minimal ∗-varieties and superinvolutions

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

Abstract

We introduce a class of finite-dimensional superalgebras over an algebraically closed field of characteristic zero, whose Grassmann envelopes generate all ∗-minimal varieties. Moreover, we prove that any affine minimal variety of superalgebras with superinvolution is generated by a suitable element in this selected class.
2024
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11563/192515
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