Divisible modules codivisible modules and quasi-divisible modules

DOI10.1080/00927877708822183zbMath0358.16018OpenAlexW2127894847MaRDI QIDQ4133775

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Publication date: 1977

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

Full work available at URL: https://doi.org/10.1080/00927877708822183

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Torsion theories, radicals (18E40) Free, projective, and flat modules and ideals in associative algebras (16D40) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70)

Related Items (5)

On injective and divisible modules. ⋮ ON RELATIVE INJECTIVITY ⋮ THE σ-PURE INJECTIVE BULL, FOR A TORSION RADICAL, σ ⋮ Modules ⋮ Neat submodules

Cites Work

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• Some aspects of torsion
• The singular submodule splits off
• Homological dimension and splitting torsion theories
• Torsion theories, additive semantics, and rings of quotients. With an appendix by H. H. Storrer on torsion theories and dominant dimensions
• Codivisible and Projective Covers
• Divisible and Codivisible Modules.
• Codivisible modules
• Rings and modules of quotients

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