Localization of modular lattices, Krull dimension, and the Hopkins-Levitzki theorem (I)
From MaRDI portal
Publication:4885211
DOI10.1017/S0305004100074697zbMath0854.06008WikidataQ116295873 ScholiaQ116295873MaRDI QIDQ4885211
Publication date: 19 January 1997
Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)
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
On \(\alpha\)-almost Artinian modules, Relativization, absolutization, and latticization in ring and module theory, Localization of modular lattices, krull dimension, and the hopkins-levitzki theorem (II), On \(\alpha\)-tall modules, Modules with chain condition on non-finitely generated submodules, The Osofsky-Smith Theorem for Modular Lattices, and Applications (II), CHAIN CONDITIONS ON QUOTIENT FINITE DIMENSIONAL MODULES, GOLDIE DIMENSION, DUAL KRULL DIMENSION AND SUBDIRECT IRREDUCIBILITY, MODULAR QFD LATTICES WITH APPLICATIONS TO GROTHENDIECK CATEGORIES AND TORSION THEORIES, Modular C11 lattices and lattice preradicals, Dual Krull dimension and quotient finite dimensionality, The Krull dimension of certain semiprime modules versus their \(\alpha \)-shortness, The conditions (𝐂ᵢ),𝐢=1,2,3,11,12, in rings, modules, categories, and lattices, 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
Cites Work
