Σ-Extending Modules, Σ-Lifting Modules, and Proper Classes

DOI10.1080/00927870701718930zbMath1144.16006OpenAlexW2064438311MaRDI QIDQ5456504

Septimiu Crivei

Publication date: 8 April 2008

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

Full work available at URL: https://doi.org/10.1080/00927870701718930

zbMATH Keywords

precoverslifting modulesextending modulespreenvelopesproper classes of exact sequences

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Free, projective, and flat modules and ideals in associative algebras (16D40) Other classes of modules and ideals in associative algebras (16D80)

Related Items (8)

Relatively extending modules. ⋮ D4-objects in abelian categories: Transfer via functors ⋮ Rickart and dual Rickart objects in abelian categories: transfer via functors ⋮ Pure-direct-objects in categories: transfer via functors ⋮ Transfer of splitness with respect to a fully invariant short exact sequence in abelian categories ⋮ Baer-Kaplansky classes in categories: transfer via functors ⋮ The Osofsky-Smith Theorem for Modular Lattices, and Applications (II) ⋮ Relatively Lifting Modules

Cites Work

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• A note on homology in categories
• Covers and directed colimits.
• Finite splitness and finite projectivity
• Indecomposable decompositions of modules whose direct sums are CS.
• Lifting modules, extending modules and their applications to QF-rings
• ALL MODULES HAVE FLAT COVERS
• Injective hulls of flat modules
• Rings characterized by (pre)envelopes and (pre)covers of their modules^∗
• MODULES FOR WHICH EVERY SUBMODULE HAS A UNIQUE COCLOSURE

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