A counterexample to two hypotheses on projective and flat modules

DOI10.1007/BF00968939zbMath0588.16017OpenAlexW2011884581WikidataQ105367662 ScholiaQ105367662MaRDI QIDQ1073149

I. I. Sakhaev, Victor Gerasimov

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1007/bf00968939

zbMATH Keywords

projective modulesJacobson radicalsemi-local ringsfinitely generated flat modules

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Free, projective, and flat modules and ideals in associative algebras (16D40) Projective and free modules and ideals in commutative rings (13C10)

Related Items (12)

Supplement submodules and a generalization of projective modules. ⋮ Projective modules are determined by their radical factors. ⋮ Weakly based modules over Dedekind domains ⋮ On rings determined by their idempotents and units ⋮ Reconstructing projective modules from its trace ideal. ⋮ Projective modules over the endomorphism ring of a biuniform module. ⋮ Projective modules over the Gerasimov-Sakhaev counterexample. ⋮ \(K_0\) of a semilocal ring ⋮ Generalizations of projectivity and supplements revisited for superfluous ideals ⋮ Infinitely generated projective modules over pullbacks of rings ⋮ Complements in projective modules ⋮ On semilocal modules and rings

Cites Work

• Capacity and continuation of functions with generalized derivatives
• Liberte des gros modules projectifs
• Flat and projective modules.
• On Finitely Generated Flat Modules
• Inversive localization in noetherian rings

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