scientific article; zbMATH DE number 5692075

zbMath1212.06019MaRDI QIDQ5306872

Toma L.Albu

Publication date: 12 April 2010

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zbMATH Keywords

irreducible decompositionmodular latticeKrull dimensionupper continuous latticeirreducible elementatomic latticeGabriel dimensionsemi-Artinian latticecoirreducible elementlattice rich in completely coirreducibleslattice rich in completely irreduciblesposet rich in subdirectly irreduciblessubdirectly irreducible poset

Mathematics Subject Classification ID

Torsion theories, radicals (18E40) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Continuous lattices and posets, applications (06B35) Modular lattices, Desarguesian lattices (06C05)

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Prime, irreducible, and completely irreducible lattice preradicals on modular complete lattices (I) ⋮ Fully invariant-extending modular lattices, and applications. I.

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