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Generalization of quasi-Koszul algebras

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Abstract

In this paper, we generalize two kinds of graded algebras, δ-Koszul algebras and K p algebras, to the non-graded cases. The trivial modules of δ-Koszul algebras have pure resolutions, while those of K p algebras admit non-pure resolutions. We provide necessary and sufficient conditions for a notherian semiperfect algebra either to be a quasi-δ-Koszul algebra or to be a quasi-K p algebra.

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Authors and Affiliations

  1. Department of Mathematics, Zhejiang University, Hangzhou, 310027, China

    Qi Xia

Authors
  1. Qi Xia
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Correspondence to Qi Xia.

Additional information

Supported by the National Natural Science Foundation of China(10971188) and the Zhejiang Provincial Natural Science Foundation of China(J20080154).

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Xia, Q. Generalization of quasi-Koszul algebras. Appl. Math. J. Chin. Univ. 25, 117–126 (2010). https://doi.org/10.1007/s11766-010-2210-4

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  • DOI: https://doi.org/10.1007/s11766-010-2210-4

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