New results on \(C_{11}\) and \(C_{12}\) lattices with applications to Grothendieck categories and torsion theories

DOI10.1007/s11464-016-0550-yzbMath1358.06002OpenAlexW2501176176MaRDI QIDQ335359

Mihai Iosif, Toma L.Albu

Publication date: 2 November 2016

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-016-0550-y

zbMATH Keywords

modular latticeGoldie dimensiontorsion theoryuniform latticesocle, Grothendieck categoryupper continuous lattice

Mathematics Subject Classification ID

Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Continuous lattices and posets, applications (06B35) Modular lattices, Desarguesian lattices (06C05)

Related Items

Fully invariant-extending modular lattices, and applications. I., Modular C11 lattices and lattice preradicals, The conditions (𝐂ᵢ),𝐢=1,2,3,11,12, in rings, modules, categories, and lattices

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