Grothendieck groups of unbounded complexes of finitely generated modules |
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Authors: | Jun-ichi Miyachi |
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Affiliation: | (1) Department of Mathematics, Tokyo Gakugei University, Koganei-shi, Tokyo 184-8501, Japan |
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Abstract: | Let Λ be a left Artinian ring, D+(mod Λ) (resp., D−(mod Λ), D(mod Λ)) the derived category of bounded below complexes (resp., bounded above complexes, unbounded complexes) of finitely generated left Λ-modules. We show that the Grothendieck groups K0(D+(mod Λ)), K0(D−(mod Λ)) and K0(D(mod Λ)) are trivial. Received: 7 April 2005 |
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Keywords: | 16E30 16G10 18E30 18F30 |
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