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- W2950274166 abstract "Let $A = bigoplus_{i geqslant 0} A_i$ be a graded locally finite $k$-algebra such that $A_0$ is an arbitrary finite-dimensional algebra satisfying a certain splitting condition. In this paper we develop a generalized Koszul theory preserving many classical results. Moreover, we define a quotient graded algebra $bar{A} = bigoplus_{i geqslant 0} bar{A}_i$ and show that $A$ is a generalized Koszul algebra if and only if $bar{A}$ is a classical Koszul algebra and a projective $A_0$-module. We also describe an application of this theory to the extension algebras of standard modules of standardly stratified algebras." @default.
- W2950274166 created "2019-06-27" @default.
- W2950274166 creator A5038259858 @default.
- W2950274166 date "2012-06-20" @default.
- W2950274166 modified "2023-10-16" @default.
- W2950274166 title "A generalized Koszul theory and its relation to the classical theory" @default.
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- W2950274166 doi "https://doi.org/10.48550/arxiv.1206.4748" @default.
- W2950274166 hasPublicationYear "2012" @default.
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