Journal
JOURNAL OF ALGEBRA
Volume 398, Issue -, Pages 63-110Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jalgebra.2013.09.020
Keywords
Recollements of abelian categories; Perpendicular categories; Global dimension; Finitistic dimension; Representation dimension; Recollements of triangulated categories; Derived categories; Rouquier dimension
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Funding
- European Union
- Greek national funds through the Operational Program Education and Lifelong Learning of the National Strategic Reference Framework (NSRF) - Research Funding Program: Heracleitus II
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We investigate several homological aspects of recollements of abelian categories. In particular, we study how various homological invariants and dimensions of the categories involved in a recollement situation are related, and when recollements of abelian categories induce recollements at the level of the bounded derived categories. Finally we give applications to global, finitistic, and representation dimension of rings and Artin algebras, and to Rouquier's dimension of triangulated categories. (C) 2013 Elsevier Inc. All rights reserved.
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