Abstract
AbstractLet 𝒞 be a finitely accessible additive category with products, and let (Ui)i∈Ibe a family of representative classes of finitely presented objects in 𝒞 such that each objectUiis pure-injective. We show that 𝒞 is a Krull–Schmidt category if and only if every pure epimorphic image of the objectsUiis pure-injective.
Publisher
Cambridge University Press (CUP)
Cited by
1 articles.
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