scientific article; zbMATH DE number 5785822

zbMath1208.16021MaRDI QIDQ5748122

Toma L.Albu

Publication date: 14 September 2010

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Grothendieck categorieshereditary torsion theoriesmodular latticesNoetherian modulesright Artinian ringsright Noetherian ringsArtinian modulesHopkins-Levitzki theoremdual Krull dimension

Mathematics Subject Classification ID

Torsion theories, radicals (18E40) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) 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) Research exposition (monographs, survey articles) pertaining to associative rings and algebras (16-02)

Related Items (4)

Relativization, absolutization, and latticization in ring and module theory ⋮ 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. ⋮ Integrality of Noetherian Grothendieck categories

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