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Lookup NU author(s): Professor Peter Jorgensen
Let View the MathML source be a triangulated category with a cluster tilting subcategory View the MathML source. The quotient category View the MathML source is abelian; suppose that it has finite global dimension.We show that projection from View the MathML source to View the MathML source sends cluster tilting subcategories of View the MathML source to support tilting subcategories of View the MathML source, and that, in turn, support tilting subcategories of View the MathML source can be lifted uniquely to weak cluster tilting subcategories of View the MathML source.
Author(s): Holm T, Jorgensen P
Publication type: Article
Publication status: Published
Journal: Journal of Pure and Applied Algebra
Year: 2010
Volume: 214
Issue: 9
Pages: 1523-1533
Date deposited: 07/10/2010
ISSN (print): 0022-4049
ISSN (electronic): 1873-1376
Publisher: Elsevier BV
URL: http://dx.doi.org/10.1016/j.jpaa.2009.11.012
DOI: 10.1016/j.jpaa.2009.11.012
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