Let (Formula presented.) be a field of characteristic zero and (Formula presented.) a finite abelian group. In this paper, we prove that an affine variety of (Formula presented.) -graded PI-algebras is minimal if and only if it is generated by a graded algebra (Formula presented.) of upper block triangular matrices where (Formula presented.) are finite-dimensional (Formula presented.) -simple algebras.
Minimal varieties of graded PI-algebras over abelian groups
Argenti S.
;
2024-01-01
Abstract
Let (Formula presented.) be a field of characteristic zero and (Formula presented.) a finite abelian group. In this paper, we prove that an affine variety of (Formula presented.) -graded PI-algebras is minimal if and only if it is generated by a graded algebra (Formula presented.) of upper block triangular matrices where (Formula presented.) are finite-dimensional (Formula presented.) -simple algebras.File in questo prodotto:
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Minimal varieties of graded PI‐algebras over abelian groups.pdf
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