An axiomatic description of a duality for modules

DOI10.1006/aima.1997.1660zbMath0891.16008OpenAlexW2061162689MaRDI QIDQ1369257

Henning Krause

Publication date: 25 May 1998

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/6b16f0a1cf10b750074961ee355805d768839bc2

zbMATH Keywords

injective cogeneratorsindecomposable modulesinjective envelopespure-injective modulesquotient categorieselementary dualitycategories of finitely presented right modulessimply reflexive modules

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Module categories in associative algebras (16D90) Abelian categories, Grothendieck categories (18E10) Applications of logic in associative algebras (16B70) Localization of categories, calculus of fractions (18E35)

Related Items

Flat endofinite modules, prime ideals, and duality.

Cites Work

• The spectrum of a locally coherent category
• Extensions of elementary duality
• Elementary Duality of Modules
• Des catégories abéliennes
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