On infinite Goldie dimension of modular lattices and modules

DOI10.1016/0022-4049(85)90037-4zbMath0562.16014OpenAlexW2082021645MaRDI QIDQ2266761

Piotr Grzeszczuk, Edmund R. Puczylowski

Publication date: 1985

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(85)90037-4

zbMATH Keywords

modulesmodular latticesringsdual Goldie dimensioninfinite Goldie dimension

Mathematics Subject Classification ID

Modular lattices, Desarguesian lattices (06C05) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items

On some non-obvious connections between graphs and unary partial algebras, Prime, irreducible, and completely irreducible lattice preradicals on modular complete lattices (I), Intersection graphs of modules and rings, On balanced lattices and Goldie dimension of balanced lattices, The gabriel dimension is not autodual, Unified min-max and interlacing theorems for linear operators, DIMENSION MODULES AND MODULAR LATTICES, A linear property of Goldie dimension of modules and modular lattices., LINEAR PROPERTIES OF GOLDIE DIMENSION OF MODULES AND MODULAR LATTICES, Pseudocomplemented semilattices, Boolean algebras, and compatible products, Essential Ideals in Rings of Measurable Functions, On infinite Goldie dimension

Cites Work

• Unnamed Item
• Unnamed Item
• On Goldie and dual Goldie dimensions
• The Structure of Prime Rings Under Ascending Chain Conditions
• Dual goldie dimension
• A Note on Dualizing Goldie Dimension
• Krull dimension
• Modules Over Dedekind Rings and Valuation Rings