Modules with perfect decompositions

DOI10.7146/math.scand.a-14981zbMath1143.16006OpenAlexW49052377MaRDI QIDQ5444119

Lidia Angeleri Hügel, Manuel Saorín

Publication date: 22 February 2008

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7146/math.scand.a-14981

zbMATH Keywords

direct sumsdirect summandsCS-modulespuritiesperfect decompositionscoperfect modulesLE-decompositionsfiniteness conditions on endomorphism rings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Module categories in associative algebras (16D90) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) General module theory in associative algebras (16D10) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Related Items (13)

Topologically semisimple and topologically perfect topological rings ⋮ Approximations and Mittag-Leffler conditions the applications ⋮ Decomposition properties of strict Mittag-Leffler modules. ⋮ Reconstructing projective modules from its trace ideal. ⋮ The completion of \(d\)-abelian categories ⋮ Topologically semiperfect topological rings ⋮ Enochs' conjecture for small precovering classes of modules ⋮ Rings whose modules satisfy chain conditions on essential endosubmodules ⋮ Covers and direct limits: a contramodule-based approach ⋮ Infinitely generated projective modules over pullbacks of rings ⋮ One dimensional tilting modules are of finite type. ⋮ Projective covers over local rings ⋮ Singular compactness and definability for \(\Sigma\)-cotorsion and Gorenstein modules

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