A PAIRING OF GROTHENDIECK GROUPS OF CERTAIN SUBCATEGORIES OF MODULES OVER A GORENSTEIN LOCAL RING
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概要
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We construct a pairing of the Grothendieck group of the category of finitely generated modules over a Gorenstein local ring, and the Grothendieck group of the category of length and projective dimension finite modules which is a subcategory of the finitely generated modules. This induces the Grothendieck group valued additive invariant vanishing on modules of finite projective dimension.
- 八代工業高等専門学校の論文
- 2007-03-01
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