An explicit construction of the universal division ring of fractions of \(E\langle\langle x_1,\ldots, x_d \rangle\rangle\)

DOI10.4171/JCA/47zbMath1496.16019OpenAlexW3113267828MaRDI QIDQ2233680

Andrei Jaikin-Zapirain

Publication date: 11 October 2021

Published in: Journal of Combinatorial Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/jca/47

zbMATH Keywords

Lück approximationSylvester domainsfree division ringinner rank

Mathematics Subject Classification ID

Infinite-dimensional and general division rings (16K40) Noncommutative local and semilocal rings, perfect rings (16L30) Limits, profinite groups (20E18)

Related Items (2)

Pseudo-Sylvester domains and skew Laurent polynomials over firs ⋮ The free field: realization via unbounded operators and Atiyah property

Cites Work

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• Determining homomorphisms to skew fields
• The maximal ring of quotients of a finite von Neumann algebra
• Sylvester domains
• Approximating \(L^ 2\)-invariants by their finite-dimensional analogues
• On the relation between length functions and exact Sylvester rank functions
• Approximation by subgroups of finite index and the Hanna Neumann conjecture
• The Hanna Neumann conjecture for Demushkin groups
• Free ideal rings
• Bivariant and extended Sylvester rank functions
• Localization in Semifirs
• L2-Betti Numbers and their Analogues in Positive Characteristic

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