Dual Krull dimension and quotient finite dimensionality
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Publication:1764829
DOI10.1016/j.jalgebra.2004.09.024zbMath1065.06006OpenAlexW2010334660MaRDI QIDQ1764829
Mihai Iosif, Mark L. Teply, Toma L.Albu
Publication date: 22 February 2005
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.09.024
modular latticeKrull dimensionGoldie dimensionGrothendieck categoryupper continuous latticedual Krull dimensioncolocal elementQFD latticeTorsion theory
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Related Items (8)
Prime, irreducible, and completely irreducible lattice preradicals on modular complete lattices (I) ⋮ Relativization, absolutization, and latticization in ring and module theory ⋮ DIMENSION MODULES AND MODULAR LATTICES ⋮ The Osofsky-Smith Theorem for Modular Lattices, and Applications (II) ⋮ A linear property of Goldie dimension of modules and modular lattices. ⋮ GOLDIE DIMENSION, DUAL KRULL DIMENSION AND SUBDIRECT IRREDUCIBILITY ⋮ LINEAR PROPERTIES OF GOLDIE DIMENSION OF MODULES AND MODULAR LATTICES ⋮ An indecomposable nonlocally finitely generated Grothendieck category with simple objects
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