Inversive localization in noetherian rings

DOI10.1002/cpa.3160260510zbMath0265.16003OpenAlexW2055911081WikidataQ105693479 ScholiaQ105693479MaRDI QIDQ5682433

Paul M. Cohn

Publication date: 1974

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.3160260510

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Torsion theories, radicals (18E40) Noncommutative local and semilocal rings, perfect rings (16L30) Localization and associative Noetherian rings (16P50)

Related Items (19)

Direct-sum decompositions of modules with semilocal endomorphism rings. ⋮ Idempotent ideals and nonfinitely generated projective modules over integral group rings of polycyclic-by-finite groups. ⋮ A note on Cohn's universal localisation at a semiprime ideal ⋮ Inversive localization at semiprime Goldie ideals ⋮ Cohn localization of finite group rings ⋮ On the obstruction group in homology surgery ⋮ The pure cohomology of multiplicative quiver varieties ⋮ Projective modules over the Gerasimov-Sakhaev counterexample. ⋮ \(K_0\) of a semilocal ring ⋮ Associative rings ⋮ Linked Primes and Orders in Artinian Rings ⋮ Progress in free associative algebras ⋮ Representations of K-species and bimodules ⋮ Finitely Generated Flat Modules and a Characterization of Semiperfect Rings ⋮ On universal localization of Noetherian rings ⋮ Lifting the finite generation of a projective module modulo its radical ⋮ On noncommutative localization ⋮ A counterexample to two hypotheses on projective and flat modules ⋮ Examples in noncommutative localization

Cites Work

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• Some examples in PI ring theory
• Localization of Right Noetherian Rings at Semiprime Ideals

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