Let 𝐹 be a field of characteristic zero and 𝐺 a finite abelian group. In this paper, we prove that an affine variety of 𝐺-graded PI-algebras is minimal if and only if it is generated by a graded algebra 𝑈𝑇(𝐴1,…,𝐴𝑚; 𝛾) of upper block triangular matrices where 𝐴1,…,𝐴𝑚 are finite-dimensional 𝐺-simple algebras.
Minimal varieties of graded PI‐algebras over abelian groups
Argenti, Sebastiano
;Di Vincenzo, Onofrio Mario
2024-01-01
Abstract
Let 𝐹 be a field of characteristic zero and 𝐺 a finite abelian group. In this paper, we prove that an affine variety of 𝐺-graded PI-algebras is minimal if and only if it is generated by a graded algebra 𝑈𝑇(𝐴1,…,𝐴𝑚; 𝛾) of upper block triangular matrices where 𝐴1,…,𝐴𝑚 are finite-dimensional 𝐺-simple algebras.File in questo prodotto:
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Bulletin of London Math Soc - 2024 - Argenti - Minimal varieties of graded PI‐algebras over abelian groups.pdf
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