Additive rank functions and Gabriel filters in right Noetherian rings

DOI10.1016/0021-8693(90)90209-7zbMath0702.16013OpenAlexW2026821986MaRDI QIDQ914803

Günter Krause

Publication date: 1990

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(90)90209-7

zbMATH Keywords

short exact sequencesright idealsminimal prime idealsright Noetherian ringbasic additive rank functionsdescending chain condition on closed right idealsfinitely generated right R- modulesGabriel filtermodular lattice of closed submodules

Mathematics Subject Classification ID

Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Ideals in associative algebras (16D25) Modular lattices, Desarguesian lattices (06C05) 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 (2)

Flat endofinite modules, prime ideals, and duality. ⋮ Rings with an additive rank function

Cites Work

• Unnamed Item
• Additive rank functions in Noetherian rings
• Torsion-free modules and rings
• Coherent Rings and Fp -Injective Modules

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