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arxiv: 2606.17206 · v1 · pith:HEIPLG6Snew · submitted 2026-06-15 · 🧮 math.RA

Finite basis property for finite graded algebras

classification 🧮 math.RA
keywords finitegradedbasisalgebraalgebrasassociativefieldfinite-dimensional
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Let $G$ be a finite group and let $\F$ be a finite field. We prove that any finite-dimensional $G$-graded associative algebra $A$ over $\F$ has a finite basis for its $G$-graded polynomial identities.

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