A characterization of rings with Krull dimension

DOI10.1016/0021-8693(90)90254-LzbMath0706.16013MaRDI QIDQ919078

Dinh Van Huynh, Nguyen Viet Dung, Patrick F. Smith

Publication date: 1990

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

zbMATH Keywords

cyclic modulesKrull dimensiondirect suminjective moduleessential submodule

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items

Generalized injectivity and chain conditions ⋮ A characterization of noetherian rings by cyclic modules ⋮ On modules with finite uniform and Krull dimension ⋮ CHAIN CONDITIONS ON QUOTIENT FINITE DIMENSIONAL MODULES ⋮ GOLDIE DIMENSION, DUAL KRULL DIMENSION AND SUBDIRECT IRREDUCIBILITY ⋮ Dual Krull dimension and quotient finite dimensionality ⋮ On λ-Finitely Embedded Modules

Cites Work

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• Rings Characterized by their Cyclic Modules
• The Dual of the Notion of “Finitely Generated”
• Krull dimension