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A linear property of Goldie dimension of modules and modular lattices.

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Publication:531367
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DOI10.1016/j.jpaa.2010.09.013zbMath1230.16018OpenAlexW1966744001MaRDI QIDQ531367

Edmund R. Puczylowski

Publication date: 29 April 2011

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

Full work available at URL: https://doi.org/10.1016/j.jpaa.2010.09.013

zbMATH Keywords

lattices of submodulesmodular latticesbasesGoldie dimensionindependent setsminimal generating sets


Mathematics Subject Classification ID

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


Related Items

DIMENSION MODULES AND MODULAR LATTICES



Cites Work

  • On Goldie and dual Goldie dimensions
  • Infinite Goldie dimensions
  • Dimension modules
  • Dual Krull dimension and quotient finite dimensionality
  • On infinite Goldie dimension of modular lattices and modules
  • Modules with decompositions that complement direct summands
  • Gabriel and Krull Dimensions of Modules Over Rings Graded by Finite Groups
  • Dual goldie dimension
  • A Note on Dualizing Goldie Dimension
  • On the dimension of a sum of modules
  • Goldie dimension of a sum of modules
  • Localization of modular lattices, krull dimension, and the hopkins-levitzki theorem (II)
  • Relations between some dimensions of modular lattices
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