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Skew Group Algebras, (Fg) and Self-injective Rad-Cube-Zero Algebras

math.RT · 2024-11-25 · conditional · novelty 6.0

Self-injective radical-cube-zero algebras satisfy the finite generation condition (Fg) exactly when their type is Dynkin, extended Dynkin other than ~An, or ~An with a finite-order Nakayama automorphism, assuming the characteristic is good.

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  • Skew Group Algebras, (Fg) and Self-injective Rad-Cube-Zero Algebras math.RT · 2024-11-25 · conditional · none · ref 5

    Self-injective radical-cube-zero algebras satisfy the finite generation condition (Fg) exactly when their type is Dynkin, extended Dynkin other than ~An, or ~An with a finite-order Nakayama automorphism, assuming the characteristic is good.