Characterization of orthocompleteness and divisibility of modules with the help of an inner order

DOI10.1007/BF01158817zbMath0492.16032OpenAlexW2082016601MaRDI QIDQ1167799

Valeriy K. Zakharov

Publication date: 1982

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01158817

zbMATH Keywords

divisibilitytorsion-free modulesorthocomplete modulesorthocompleteness of modulesorthogonally complete modules

Mathematics Subject Classification ID

Other classes of modules and ideals in associative algebras (16D80) Ordered rings, algebras, modules (06F25) Topological and ordered rings and modules (16W80)

Cites Work

• Unnamed Item
• Decomposition of commutative semi-simple rings into direct product of integral domains
• Torsion theories, additive semantics, and rings of quotients. With an appendix by H. H. Storrer on torsion theories and dominant dimensions
• Abian's order relation and orthogonal completions for reduced rings
• The hulls of semiprime rings
• Complete and Orthogonally Complete Rings
• Injective Objects in the Category of p-Rings

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