Modules over serial rings

DOI10.1007/BF02675589zbMath0954.16013MaRDI QIDQ1974384

Askar A. Tuganbaev

Publication date: 8 February 2001

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

finitely generated modulesfinite direct productssingular submodulesorthogonal idempotentsNoetherian serial ringsArtinian serial classical rings of quotientsserial Noetherian hereditary prime rings

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Noetherian rings and modules (associative rings and algebras) (16P40) Localization and associative Noetherian rings (16P50)

Related Items (5)

On the structure of pure-projective modules and some applications ⋮ Rings over which every \(RD\)-projective module is a direct sum of cyclically presented modules. ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• Serial rings with right Krull dimension one
• Serial rings and finitely presented modules
• Left and right distributive rings
• Bezout rings and serial rings
• Semihereditary rings
• The Restricted Minimum Condition in Noetherian Hereditary Rings
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