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Discrete Koszul Algebras

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Abstract

Discrete Koszul algebra, another extension of Koszul algebras, is introduced in this paper. The Yoneda algebra of a discrete Koszul algebra is investigated in detail. As an application, we give an answer to a question proposed by Green and Marcos (Commun Algebra 33:1753–1764, 2005). In particular, the relationship between discrete Koszul algebras and Koszul algebras is established. Further, we construct new discrete Koszul algebras from the given ones in terms of one-point extension.

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Authors and Affiliations

  1. Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang, 321004, People’s Republic of China

    Jia-Feng Lü & Miao-Sen Chen

Authors
  1. Jia-Feng Lü
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  2. Miao-Sen Chen
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Correspondence to Jia-Feng Lü.

Additional information

This work was supported by National Natural Science Foundation of China (Grant No. 11001245), Zhejiang Province Department of Education Fund (Grant No. Y201016432) and Zhejiang Innovation Project (Grant No. T200905).

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Lü, JF., Chen, MS. Discrete Koszul Algebras. Algebr Represent Theor 15, 273–293 (2012). https://doi.org/10.1007/s10468-010-9241-7

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  • DOI: https://doi.org/10.1007/s10468-010-9241-7

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