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Nonpure piecewise-Koszul algebras

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Abstract

In this paper, the notions of nonpure piecewise-Koszul algebra and nonpure piecewise-Koszul module are introduced, which are the “nonpure” version of piecewise-Koszul algebras and modules first introduced in [19]. Some criteria for a standard graded algebra to be nonpure piecewise-Koszul are given. We also discuss some basic properties of nonpure piecewise-Koszul modules. Further more, we give a sufficient condition for the questions raised in [20] to be true in terms of nonpure piecewise-Koszul modules.

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Authors and Affiliations

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

    Jia-Feng Lü

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  1. Jia-Feng Lü
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Correspondence to Jia-Feng Lü.

Additional information

This work was supported by National Natural Science Foundation of China (No. 11001245 and No. 11101288), Natural Science Foundation of Zhejiang Province (No. Y6110323), Zhejiang Province Department of Education Fund (No. Y201016432) and Zhejiang Innovation Project (No. T200905).

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Lü, JF. Nonpure piecewise-Koszul algebras. Indian J Pure Appl Math 43, 1–23 (2012). https://doi.org/10.1007/s13226-012-0001-8

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  • DOI: https://doi.org/10.1007/s13226-012-0001-8

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