Reduced powers, ultrapowers and exactness of limits

DOI10.1016/0022-4049(82)90113-XzbMath0506.18006MaRDI QIDQ1836735

Timothy Porter

Publication date: 1982

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

ultrapowersderived functorslinear compactnessequational compactnesscompact modulesreduced powerscosimplicial modulesinverse limit functor

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Resolutions; derived functors (category-theoretic aspects) (18G10) Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) (18A30)

Related Items (1)

Global analogues of the Brown–Grossman proper homotopy groups of an end

Cites Work

• Algebraische Kompaktheit bei Faktorgruppen von Gruppen ganzzahliger Abbildungen
• Equational compactness in rings. With applications to the theory of topological rings
• Cech and Steenrod homotopy and the Quigley exact couple in strong shape and proper homotopy theory
• Homotopy groups of pro-spaces
• Cech and Steenrod homotopy theories with applications to geometric topology
• Purity and algebraic compactness for modules
• Les foncteurs dérivés de lim et leurs applications en théorie des modules
• Homotopy limits, completions and localizations
• Reduced direct products
• Homology with equationally compact coefficients

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