Classifying subcategories in quotients of exact categories

2017/12/14 by Arentz-Hansen, Emilie
#18E10 #18E30 #Category Theory (math.CT) #Commutative Algebra (math.AC) #FOS: Mathematics #K-Theory and Homology (math.KT)

paper · doi:10.48550/arxiv.1712.05389

Abstract

We classify certain subcategories in quotients of exact categories. In particular, we classify the triangulated and thick subcategories of an algebraic triangulated category, i.e. the stable category of a Frobenius category.

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