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    Article

    Piecewise-Koszul algebras

    It is a small step toward the Koszul-type algebras. The piecewise-Koszul algebras are, in general, a new class of quadratic algebras but not the classical Koszul ones, simultaneously they agree with both the c...

    Jia-feng Lü, Ji-wei He, Di-ming Lu in Science in China Series A: Mathematics (2007)

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    Article

    (p, λ)-Koszul algebras and modules

    In this paper, the notions of (p, λ)-Koszul algebra and (p, λ)-Koszul module are introduced. Some criteria theorems for a positively graded algebra A to be (p, λ)-Koszul are given. The notion of weakly (p, λ)-Kos...

    Jia-Feng Lü, Zhi-Bing Zhao in Indian Journal of Pure and Applied Mathematics (2010)

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    Article

    New criteria for λ-Koszul algebras

    The main purpose of this paper is to provide some new criteria for a standard graded algebra A = ⊕ i≥0 A i ...

    Pei-Sen Chen, Jia-Feng Lü in Indian Journal of Pure and Applied Mathematics (2011)

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    Article

    Nonpure piecewise-Koszul algebras

    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]...

    Jia-Feng Lü in Indian Journal of Pure and Applied Mathematics (2012)

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    Article

    Notes on nonpure piecewise-Koszul algebras

    Let A = ⊕i≥0 A i be a Noetherian standard graded algebra with finite global dimension, gr ...

    Jia-Feng Lü in Indian Journal of Pure and Applied Mathematics (2015)