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Nonpure piecewise-Koszul algebras

Jia-Feng Lü ()
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Jia-Feng Lü: Zhejiang Normal University

Indian Journal of Pure and Applied Mathematics, 2012, vol. 43, issue 1, 1-23

Abstract: 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.

Keywords: Koszul algebras and modules; (nonpure) piecewise-Koszul algebras and modules (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s13226-012-0001-8

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