Dimension and decomposition in modular upper-continuous lattices

DOI10.1007/s00012-016-0390-3zbMath1358.06003arXiv1511.09172OpenAlexW2962876071MaRDI QIDQ312205

José Ríos Montes, Luis Angel Zaldívar-Corichi

Publication date: 14 September 2016

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

Full work available at URL: https://arxiv.org/abs/1511.09172

zbMATH Keywords

aspectnucleusframelatticesimplicationradicalsallocationidiominflatorspreradicals

Mathematics Subject Classification ID

Torsion theories, radicals (18E40) Complete lattices, completions (06B23) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Modular lattices, Desarguesian lattices (06C05) Artinian rings and modules (associative rings and algebras) (16P20)

Related Items (1)

On natural sets on an idiom

Cites Work

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• A decomposition theory for complete modular meet-continuous lattices
• Near-discreteness of modules and spaces as measured by Gabriel and Cantor
• Elements of noncommutative arithmetic. I
• Goldman's primary decomposition and the tertiary decomposition
• Frames and Locales
• Torsion theoretic points and spaces

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