A Characterization of Exchange Rings

DOI10.2307/2037605zbMath0258.16030OpenAlexW4236960407MaRDI QIDQ5672772

G. S. Monk

Publication date: 1972

Full work available at URL: https://doi.org/10.2307/2037605

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) Representation theory of associative rings and algebras (16Gxx)

Related Items (15)

On rings whose projective modules have the exchange property ⋮ Finitely generated projective modules over exchange rings ⋮ Sheaves of integral domains on Stone spaces ⋮ Suitable elements, -clean elements and Sylvester equations in rings with involution ⋮ Ring theory and pointfree topology. ⋮ Unnamed Item ⋮ Modules with local Pierce stalks ⋮ Characterizations of clean elements by means of outer inverses in rings and applications ⋮ Endomorphism rings of modules and lattices of submodules ⋮ Algebras over zero-dimensional rings ⋮ Five not-so-easy pieces: open problems about vertex rings ⋮ Exchange elements in rings, and the equation $XA-BX=I$ ⋮ Annihilator-stability and unique generation in C(X) ⋮ Classes of modules with the exchange property ⋮ Lifting Idempotents and Exchange Rings

Cites Work

• Refinements for infinite direct decompositions of algebraic systems
• Exchange rings and decompositions of modules
• Modules over commutative regular rings
• A Krull-Schmidt Theorem for Infinite Sums of Modules

This page was built for publication: A Characterization of Exchange Rings