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- W2024178876 abstract "In this paper, we define a notion of AS-Gorenstein algebra for N-graded algebras, and show that symmetric AS-regular algebras of Gorenstein parameter 1 are exactly preprojective algebras of quasi-Fano algebras. This result can be compared with the fact that symmetric graded Frobenius algebras of Gorenstein parameter −1 are exactly trivial extensions of finite-dimensional algebras. The results of this paper suggest that there is a strong interaction between classification problems in noncommutative algebraic geometry and those in representation theory of finite-dimensional algebras." @default.
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- W2024178876 date "2011-03-01" @default.
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- W2024178876 title "The structure of AS-Gorenstein algebras" @default.
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- W2024178876 doi "https://doi.org/10.1016/j.aim.2010.11.004" @default.
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