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Acta Mathematica Vietnamica

A NOTE ON WEAKLY KOSZUL MODULES

icon-email YUAN PAN

Abstract

Let M be a weakly Koszul module. Then Martínez-Villa and Zacharia proved that M admitted a filtration of submodules 0=U0U1U2···Up=M, such that all Ui+1/Ui are Koszul modules (see [11]). Now further, let PiUi/Ui10 and PM0 be the corresponding minimal graded projective resolutions. We prove that, for all n0, PnPni . Moreover, we also give a new characterization for a module M to be weakly Koszul in terms of the filtration of the complex P, where PM0 is a minimal graded projective resolution.

8.1.30PHP Version303msRequest Duration4MBMemory UsageGET acta/{alias}/{type}/{alias_article}Route
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
      Backtrace
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      Metadata
      Backtrace
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      Metadata
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