THE DIMENSION OF A SUBCATEGORY OF MODULES

Let $R$ be a commutative noetherian local ring. As an analog of the notion of the dimension of a triangulated category defined by Rouquier, the notion of the dimension of a subcategory of finitely generated $R$-modules is introduced in this paper. We found evidence that certain categories over nice...

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Bibliographic Details
Main Authors: HAILONG DAO, RYO TAKAHASHI
Format: Article
Language:English
Published: Cambridge University Press 2015-10-01
Series:Forum of Mathematics, Sigma
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050509415000195/type/journal_article