Semidistributive and distributively decomposable rings

DOI10.1007/BF02679824zbMath0944.16004MaRDI QIDQ1966200

Askar A. Tuganbaev

Publication date: 18 September 2000

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

zbMATH Keywords

right Noetherian ringsright distributive ringsright Krull dimensionright serial ringsorthogonal idempotentsdirect sums of distributive modulesdistributively decomposable ringsright semidistributive ringssemiperfect semiprime right hereditary 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) Other classes of modules and ideals in associative algebras (16D80) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (2)

A remark on the intersection of powers of the Jacobson radical. ⋮ Unnamed Item

Cites Work

• Unnamed Item
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• Distributive semiprime rings
• Modules Whose Lattice of Submodules is Distributive
• Noetherian Rings with Krull Dimension One
• Direct sums of distributive modules
• Krull dimension

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