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Buchsbaum Complexes with Linear Resolutions

✍ Scribed by Takayuki Hibi


Book ID
102571779
Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
186 KB
Volume
179
Category
Article
ISSN
0021-8693

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✦ Synopsis


We study the Betti numbers which appear in a minimal free resolution of the w x Stanley᎐Reisner ring k ⌬ of a Buchsbaum complex ⌬ and find a characterization w x of Buchsbaum complexes ⌬ for which a minimal free resolution of k ⌬ is linear.


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Let Ξ› be a Koszul algebra over a field K. We study in this paper a class of modules closely related to the Koszul modules called weakly Koszul modules. It turns out that these modules have some special filtrations with modules having linear resolutions and therefore easy to describe minimal projecti