On the Abelianized multiplicative group of a universal field of fractions

DOI10.1016/0022-4049(83)90020-8zbMath0504.16012OpenAlexW2047708082MaRDI QIDQ1835731

Gábor Révész

Publication date: 1983

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(83)90020-8

zbMATH Keywords

free algebrafirsDieudonne determinantuniversal field of fractionsuniversal inverting ringsemifirSylvester domaincommutator-pure embeddingsGE-firsstable associationstably associated atomsunique factorization of full matricesuniversal abelian group

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Endomorphism rings; matrix rings (16S50) Localization and associative Noetherian rings (16P50) Representation theory of associative rings and algebras (16Gxx) Division rings and semisimple Artin rings (16Kxx)

Related Items

Finitely presented modules over Leavitt algebras. ⋮ Whitehead groups of localizations and the endomorphism class group.

Cites Work

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• Sylvester domains
• On the structure of the \(GL_ 2\) of a ring
• The Universal Field of Fractions of a Semifir I. Numerators and Denominators