A Note on Dimension Modules

DOI10.1080/00927872.2014.890725zbMath1317.16017OpenAlexW2008083176MaRDI QIDQ5256734

Christian Lomp, Edmund R. Puczylowski

Publication date: 19 June 2015

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

Full work available at URL: https://doi.org/10.1080/00927872.2014.890725

zbMATH Keywords

Goldie dimensiondimension formulaedimension modulesdirect sums of submodules

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) Ideals in associative algebras (16D25) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Artinian rings and modules (associative rings and algebras) (16P20)

Cites Work

• Infinite Goldie dimensions
• Dimension modules
• Combinatorial set theory
• On the dimension of a sum of modules
• Goldie dimension of a sum of modules