A Krull-like dimension for noncommutative rings

DOI10.1007/BF02757493zbMath0305.16014OpenAlexW2089347596MaRDI QIDQ1217189

Jonathan S. Golan

Publication date: 1975

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02757493

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Torsion theories, radicals (18E40) Homological dimension in associative algebras (16E10) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (2)

Two dimensions defined on the spectrum of a noncommutative ring ⋮ Modules TTK-critiques et notions connexes

Cites Work

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• The Gabriel dimension of a module
• On the Krull-dimension of left noetherian left Matlis-rings
• Torsion theories, additive semantics, and rings of quotients. With an appendix by H. H. Storrer on torsion theories and dominant dimensions
• Topologies on the torsion-theoretic spectrum of a noncommutative ring
• The torsion theory at a prime ideal of a right Noetherian ring
• A Torsion Theory for Abelian Categories
• Des catégories abéliennes
• Krull dimension
• Rings and modules of quotients
• Rings and modules of quotients

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