On infinite Goldie dimension

DOI10.1006/jabr.1997.7404zbMath0915.16016OpenAlexW1969001319MaRDI QIDQ1270388

Catarina Santa-Clara, Fernando Conceição Silva

Publication date: 27 April 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.7404

zbMATH Keywords

direct sumsmatroidspartially ordered setsGoldie dimensioncardinal numbers

Mathematics Subject Classification ID

Partial orders, general (06A06) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items (3)

On the Goldie dimension of rings and modules. ⋮ Unified min-max and interlacing theorems for linear operators ⋮ DIMENSION MODULES AND MODULAR LATTICES

Cites Work

• On Goldie and dual Goldie dimensions
• Infinite Goldie dimensions
• On infinite Goldie dimension of modular lattices and modules
• On families of mutually exclusive sets
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