On a Theorem of Ian Hughes About Division Rings of Fractions

DOI10.1081/AGB-120027970zbMath1084.16018OpenAlexW2041942116MaRDI QIDQ3154512

Herbera, Dolors, Javier Sánchez, Warren Dicks

Publication date: 14 January 2005

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

Full work available at URL: https://doi.org/10.1081/agb-120027970

zbMATH Keywords

crossed productsgroup ringslocally indicable groupsdivision rings of fractionsHughes-free division rings

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Infinite-dimensional and general division rings (16K40) Free nonabelian groups (20E05) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Twisted and skew group rings, crossed products (16S35) Skew fields, division rings (12E15)

Related Items (8)

Localization, Whitehead groups and the Atiyah conjecture ⋮ Computing the inversion height of some embeddings of the free algebra and the free group algebra. ⋮ Free division rings of fractions of crossed products of groups with Conradian left-orders ⋮ On the growth of Betti numbers in \(p\)-adic analytic towers ⋮ Free symmetric group algebras in division rings generated by poly-orderable groups. ⋮ Universal localizations embedded in power-series rings ⋮ The universality of Hughes-free division rings ⋮ The strong Atiyah and Lück approximation conjectures for one-relator groups

Cites Work

• A rationality criterion for unbounded operators
• Division Rings and Group von Neumann Algebras
• Division Rings of Fractions for Group Rings
• The Units of Group-Rings

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