The Cohn localization of the free group ring

DOI10.1017/S0305004100075538zbMath0767.16006MaRDI QIDQ4008582

Pierre Vogel, Michael S. Farber

Publication date: 27 September 1992

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

augmentationfree groupring homomorphismgroup ringinvertible matrixCohn localizationset of square matricesuniversal \(\Sigma\)-inverting homomorphism

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Endomorphism rings; matrix rings (16S50) Associative rings of functions, subdirect products, sheaves of rings (16S60) Ordinary and skew polynomial rings and semigroup rings (16S36) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Ore rings, multiplicative sets, Ore localization (16U20)

Related Items (11)

Finitely presented modules over Leavitt algebras. ⋮ A rational noncommutative invariant of boundary links ⋮ Noncommutative localisation in algebraic \(K\)-theory. I ⋮ Blanchfield and Seifert algebra in high-dimensional boundary link theory. I: Algebraic \(K\)-theory ⋮ A note on Cohn's universal localisation at a semiprime ideal ⋮ A surgery view of boundary links ⋮ Cohn localization of finite group rings ⋮ Module theory over Leavitt path algebras and \(K\)-theory. ⋮ Universal localizations embedded in power-series rings ⋮ Universal localization of triangular matrix rings ⋮ Noncommutative rational functions and boundary links

Cites Work

• Unnamed Item
• Hermitian forms on link modules
• Link cobordism
• On the obstruction group in homology surgery
• Free Coverings and Modules of Boundary Links
• Fields of Fractions for Group Algebras of Free Groups

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