Localization of modular lattices, krull dimension, and the hopkins-levitzki theorem (II)
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Publication:4338212
DOI10.1080/00927879708825911zbMath0878.06006OpenAlexW4252561056MaRDI QIDQ4338212
Publication date: 1 December 1997
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927879708825911
Modular lattices, Desarguesian lattices (06C05) Artinian rings and modules (associative rings and algebras) (16P20) Noetherian rings and modules (associative rings and algebras) (16P40) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)
Related Items (16)
On \(\alpha\)-almost Artinian modules ⋮ Relativization, absolutization, and latticization in ring and module theory ⋮ On \(\alpha\)-tall modules ⋮ Modules with chain condition on non-finitely generated submodules ⋮ LOCALIZATION OF MODULAR LATTICES, KRULL DIMENSION, AND THE HOPKINS-LEVITZKI THEOREM. II ⋮ DIMENSION MODULES AND MODULAR LATTICES ⋮ CHAIN CONDITIONS ON QUOTIENT FINITE DIMENSIONAL MODULES ⋮ 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 ⋮ MODULAR QFD LATTICES WITH APPLICATIONS TO GROTHENDIECK CATEGORIES AND TORSION THEORIES ⋮ Dual Krull dimension and quotient finite dimensionality ⋮ Lattice preradicals with applications to Grothendieck categories and torsion theories. ⋮ Dual Krull dimension and duality ⋮ Classes of lattices (co)generated by a lattice and their global (dual) Krull dimension ⋮ Gabriel localization in functor categories
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