On the Koszul Modules of Exterior Algebras

On the Koszul Modules of Exterior Algebras

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摘要 We prove that the Koszul modules over an exterior algebra can be filtered by the cyclic Koszul modules. We also introduce the cyclic dimension vector as invariants for studying the Koszul modules over an exterior algebra. We prove that the Koszul modules over an exterior algebra can be filtered by the cyclic Koszul modules. We also introduce the cyclic dimension vector as invariants for studying the Koszul modules over an exterior algebra.

作者 Jin Yun GUO Quan Hong WAN Qiu Xian WU

机构地区 Department of Mathematics Department of Mathematics

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2007年第11期1967-1984,共18页 数学学报（英文版）

基金 NSFC#10371036,SRFDP#200505042004 the Cultivation Fund of the Key Scientific Technical Innovation Project #21000115 of the Ministry of Education of China

关键词 exterior algebra Koszul module cyclic dimension vector exterior algebra, Koszul module, cyclic dimension vector

分类号 O153.3 [理学—基础数学]

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Acta Mathematica Sinica,English Series

2007年第11期

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On the Koszul Modules of Exterior Algebras

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