Semi-local localizations of rings and subdirect decompositions of modules

DOI10.1016/0022-4049(87)90090-9zbMath0624.16001OpenAlexW1993302940MaRDI QIDQ1092143

Theodore G. Faticoni

Publication date: 1987

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(87)90090-9

zbMATH Keywords

regular mapsmodule categorymonomorphismsadditive categoryquasi-isomorphismendomorphism ringmargimorphismsclassical right quotient ringfinitely generated projective \(Q_ A\)-modulesJonsson-Reid theoremmargimorphismmarginal decomposition

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Free, projective, and flat modules and ideals in associative algebras (16D40) Automorphisms and endomorphisms (16W20) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Epimorphisms, monomorphisms, special classes of morphisms, null morphisms (18A20) Preadditive, additive categories (18E05) Localization and associative Noetherian rings (16P50)

Related Items (5)

Bjarni Jónsson's contributions in algebra ⋮ Gabriel filters on the endomorphism ring of a torsion-free abelian group ⋮ On the lattice of right ideals of the endomorphism ring of an abelian group ⋮ Marginal isomorphisms. ⋮ The construction of $A$-solvable Abelian groups

Cites Work

• Quotient categories and rings of quotients
• Orders in simple Artinian rings are strongly equivalent to matrix rings
• Orders in Artinian rings. II
• Modules with decompositions that complement direct summands
• On Direct Decomposition of Torsion Free Abelian Groups.
• Each countable reduced torsion-free commutative ring is a pure subring of an e-ring
• Noetherian Full Quotient Rings
• Endomorphism Rings and Direct Sums of Torsion Free Abelian Groups
• Krull dimension
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