Purity and flatness in symmetric monoidal closed exact categories

DOI10.1142/S0219498820500048zbMath1444.18003arXiv1809.05261OpenAlexW2963806905WikidataQ114614768 ScholiaQ114614768MaRDI QIDQ5107136

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Publication date: 23 April 2020

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.05261

zbMATH Keywords

exact categoryflat objectclosed categorypure injective object

Mathematics Subject Classification ID

Epimorphisms, monomorphisms, special classes of morphisms, null morphisms (18A20) Definitions and generalizations in theory of categories (18A05) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20)

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Cites Work

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• On pure acyclic complexes.
• Ext in pre-Abelian categories
• Flat covers of complexes
• Chain complexes and stable categories
• Cup products in sheaf cohomology, pure injectives, and a substitute for projective resolutions
• Purity in functor categories
• Coherence in closed categories
• Pure Injective and Absolutely Pure Sheaves
• Maximal exact structures on additive categories
• Effective descent morphisms for Banach modules
• Autour de la platitude
• A Module is Flat if and Only if its Character Module is Injective

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