Free Fields in Malcev–Neumann Series Rings

DOI10.1080/00927872.2011.638354zbMath1290.16017arXiv1108.3311OpenAlexW1991898522MaRDI QIDQ2839102

Vitor O. Ferreira, Javier Sánchez, Érica Z. Fornaroli

Publication date: 4 July 2013

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

Full work available at URL: https://arxiv.org/abs/1108.3311

zbMATH Keywords

valuationsfree associative algebrasskew Laurent series ringsskew fieldsfree fieldsuniversal fields of fractionsfields of fractions of group algebrasskew fields of Malcev-Neumann series

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Group rings (16S34) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Infinite-dimensional and general division rings (16K40) Skew fields, division rings (12E15)

Related Items (1)

Free group algebras in division rings with valuation I

Cites Work

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• Valuation methods in division rings
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• Finite Generation of the Group of Eigenvalues for Sets of Derivations or Automorphisms of Division Algebras
• The skew field of fractions of the weyl algebra contains a free noncommutative subalgebra
• A jacobian conjecture for free associative algebras
• Division Rings of Fractions for Group Rings
• The amenability and non-amenability of skew fields
• The Group Ring Of a Class Of Infinite Nilpotent Groups

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