We give a classification of all exact structures on a given idempotent complete additive category. Using this, we investigate the structure of an exact category with finitely many indecomposables. We show that the relation of the Grothendieck group of such a category is generated by AR conflations. Moreover, we obtain... Show more

September 25, 2017

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Classifications of exact structures and Cohen-Macaulay-finite algebras

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