Classes of lattices (co)generated by a lattice and their global (dual) Krull dimension

DOI10.1016/S0012-365X(97)00178-7zbMath0952.06010MaRDI QIDQ1584234

Toma L.Albu

Publication date: 2 November 2000

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

Grothendieck categoriesposetsKrull dimensiongenerationcogenerationupper continuous modular lattices

Mathematics Subject Classification ID

Partial orders, general (06A06) Modular lattices, Desarguesian lattices (06C05)

Related Items (1)

Relativization, absolutization, and latticization in ring and module theory

Cites Work

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• Krull dimension and Noetherianness
• Dual Krull dimension and duality
• The Gabriel dimension of a module
• Modules with decompositions that complement direct summands
• Localization of modular lattices, krull dimension, and the hopkins-levitzki theorem (II)
• Localization of modular lattices, Krull dimension, and the Hopkins-Levitzki theorem (I)

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