On finiteness conditions of modular lattices

DOI10.1080/00927879808826319zbMath0914.06003OpenAlexW2066395124MaRDI QIDQ4212553

Piotr Grzeszczuk, Edmund R. Puczylowski

Publication date: 3 December 1998

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

Full work available at URL: https://doi.org/10.1080/00927879808826319

zbMATH Keywords

distributive latticesmodular latticesKrull dimensionGoldie dimensionupper continuous latticeslower continuous latticesdual Krull dimension

Mathematics Subject Classification ID

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

Related Items

New results on \(C_{11}\) and \(C_{12}\) lattices with applications to Grothendieck categories and torsion theories, The Osofsky–Smith Theorem for Modular Lattices and Applications (I), Noetherian and Artinian lattices, Ojective ideals in modular lattices

Cites Work

• On Goldie and dual Goldie dimensions
• Modules with chain conditions on superfluous submodules
• On the uniform dimension of the radical of a module^*
• Unnamed Item