Modules with local Pierce stalks

DOI10.1016/0021-8693(92)90107-WzbMath0743.16006MaRDI QIDQ1183306

Douglas G. Burkholder

Publication date: 28 June 1992

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

generatorcentral idempotentsBoolean ringendomorphism ringdirect summandfinite exchange propertysuitabilitycomaximal submoduleslocal \(R\)- modulelocal Pierce stalksquasi- projective modulesspectrum of maximal ideals

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) Ideals in associative algebras (16D25)

Related Items (1)

On modules for which the finite exchange property implies the countable exchange property

Cites Work

• Unnamed Item
• On rings whose projective modules have the exchange property
• An example of a ring whose projective modules have the exchange property
• Exchange rings and decompositions of modules
• Modules with decompositions that complement direct summands
• Semiregular Modules and Rings
• Pierce sheaves of non-commutative rings
• Lifting Idempotents and Exchange Rings
• Rings all of Whose Pierce Stalks are Local
• Modules over commutative regular rings
• Representation of rings by sections
• Galois Theory with Infinitely Many Idempotents
• Endomorphism Rings of Projective Modules
• A Characterization of Exchange Rings

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