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| Paper IPM / M / 17617 |
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In this paper we introduce nZ-abelian and nZ-exact categories by axiomatising properties of nZ-cluster tilting subcategories. We study this categories and show that every nZ-cluster tilting subcategory of an abelian (resp., exact) category has a natural structure of an nZ-abelian (resp., nZ-exact) category. Also we show that every small
nZ-abelian category arise in this way, and discuss the problem for nZ-exact categories.
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