The existence of maximal n-orthogonal subcategories
نویسندگان
چکیده
منابع مشابه
The existence of maximal n-orthogonal subcategories
Article history: Received 30 April 2008 Available online 6 March 2009 Communicated by Luchezar L. Avramov
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For an (n− 1)-Auslander algebra Λ with global dimension n, we give some necessary conditions for Λ admitting a maximal (n − 1)-orthogonal subcategory in terms of the properties of simple Λ-modules with projective dimension n − 1 or n. For an almost hereditary algebra Λ with global dimension 2, we prove that Λ admits a maximal 1orthogonal subcategory if and only if for any non-projective indecom...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2009
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2009.01.036