Exactness of direct limits in the category of firm modules

DOI10.1016/j.jalgebra.2010.12.031zbMath1234.18005OpenAlexW2094503826MaRDI QIDQ555569

Leandro Marín, Juan González-Férez

Publication date: 25 July 2011

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2010.12.031

zbMATH Keywords

Grothendieck categoriesexact functorsdirect limits\(\aleph_1\)-presented modulesabelian categoriesfirm modulesnonunital rings

Mathematics Subject Classification ID

Graded rings (13A02) Syzygies, resolutions, complexes in associative algebras (16E05) Module categories and commutative rings (13C60)

Cites Work

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• The category of firm modules need not be Abelian.
• Quillen's small object argument in the category of firm modules.
• The Category of Firm Modules for Nonunital Monomial Algebras
• Gruson-Jensen Duality for Idempotent Rings

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