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http://hdl.handle.net/1942/2618
Title: | Grothendieck groups and tilting objects | Authors: | Reiten, I VAN DEN BERGH, Michel |
Issue Date: | 2001 | Publisher: | KLUWER ACADEMIC PUBL | Source: | ALGEBRAS AND REPRESENTATION THEORY, 4(1). p. 1-23 | Abstract: | Let C be a connected Noetherian hereditary Abelian category with a Serre functor over an algebraically closed field k, with finite-dimensional homomorphism and extension spaces, Using the classification of such categories from our 1999 preprint, we prove that if C has some object of infinite length, then the Grothendieck group of C is finitely generated if and only if C has a tilting object. | Notes: | Norwegian Univ Sci & Technol, Dept Math Sci, N-7491 Trondheim, Norway. Limburgs Univ Ctr, Dept WNI, B-3590 Diepenbeek, Belgium.Reiten, I, Norwegian Univ Sci & Technol, Dept Math Sci, N-7491 Trondheim, Norway. | Keywords: | Grothendieck group; tilting object; hereditary Abelian category; hereditary order; quotient category | Document URI: | http://hdl.handle.net/1942/2618 | ISSN: | 1386-923X | e-ISSN: | 1572-9079 | ISI #: | 000171809100001 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2002 |
Appears in Collections: | Research publications |
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0005100v1.pdf | 252.9 kB | Adobe PDF | View/Open |
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