CLASSIFYING PROJECTIVE MODULES OVER SOME SEMILOCAL RINGS

DOI10.1142/S0219498807002521zbMath1161.16001OpenAlexW2051404616MaRDI QIDQ3502809

Gena Puninski, Nikolay Dubrovin

Publication date: 20 May 2008

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498807002521

zbMATH Keywords

uniserial modulesglobal dimensionsemilocal ringspure-projective modulesinfinitely generated projective modulesnearly simple domainspp-formulae

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) 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) Noncommutative local and semilocal rings, perfect rings (16L30) Homological dimension in associative algebras (16E10) Applications of logic in associative algebras (16B70)

Related Items (5)

Ziegler spectra of serial rings ⋮ Projective modules over the Gerasimov-Sakhaev counterexample. ⋮ Recent Progress in Module Approximations ⋮ WHEN COTORSION MODULES ARE PURE INJECTIVE ⋮ Pure Projective Approximations

Cites Work

• Projective modules are determined by their radical factors.
• Module theory. Endomorphism rings and direct sum decompositions in some classes of modules
• Projective modules over the endomorphism ring of a biuniform module.
• \(K_0\) of a semilocal ring
• Projective modules over weakly noetherian rings
• Finitely Generated Flat Modules and a Characterization of Semiperfect Rings
• A classification and examples of rank one chain domains
• On Homological Dimensions of Rings with Countably Generated Ideals.
• Unique Factorization Domains
• Some model theory over a nearly simple uniserial domain and decompositions of serial modules

This page was built for publication: CLASSIFYING PROJECTIVE MODULES OVER SOME SEMILOCAL RINGS