We exhibit a class $\mc{C}$ of finite dimensional algebras with superinvolution over an algebraically closed field of characteristic zero, with the remarkable property that each member of $\mc{C}$ 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 $\mc{C}$, thus providing a complete characterization of the affine minimal varieties of algebras with superinvolution.
Minimal affine varieties of superalgebras with superinvolution: a characterization
Nardozza Vincenzo
2024-01-01
Abstract
We exhibit a class $\mc{C}$ of finite dimensional algebras with superinvolution over an algebraically closed field of characteristic zero, with the remarkable property that each member of $\mc{C}$ 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 $\mc{C}$, thus providing a complete characterization of the affine minimal varieties of algebras with superinvolution.File in questo prodotto:
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(2024) - DVN - Characterization of minimal varieties of algebras with superinvolution.pdf
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