Flatness and absolute purity-applying functor categories to ring theory

DOI10.1016/0021-8693(77)90191-0zbMath0352.18020OpenAlexW1993665793MaRDI QIDQ1235757

Harro Bernecker

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1016/0021-8693(77)90191-0

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Free, projective, and flat modules and ideals in associative algebras (16D40) Projectives and injectives (category-theoretic aspects) (18G05) Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) (18A30) Categorical algebra (18E99) Homological methods in associative algebras (16Exx)

Related Items

Balanced functors applied to modules, Modules

Cites Work

• Purity in functor categories
• Flat and coherent functors
• Rings with several objects
• Intrinsic Characterizations of Some Additive Functors
• Direct Products of Modules
• A Torsion Theory for Abelian Categories
• Coherent Rings and Fp -Injective Modules
• Absolutely Pure Modules