Stable decomposability of matrices over the rational closure of a group algebra of an ordered group

DOI10.1070/SM9286zbMath1498.20009OpenAlexW3036849064MaRDI QIDQ5149928

Nikolay Dubrovin

Publication date: 9 February 2021

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm9286

zbMATH Keywords

formal seriesright-ordered groupsdivision ring of fractions

Mathematics Subject Classification ID

Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Infinite-dimensional and general division rings (16K40) Ordered groups (06F15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Rational closure of the group algebra of a linearly ordered group in the division ring of Mal'tsev series
• Rational operators of the space of formal series.
• Complexity of elements in rings
• Topological linear spaces of formal sums.
• Formal sums and power series over a group
• On Ordered Division Rings

This page was built for publication: Stable decomposability of matrices over the rational closure of a group algebra of an ordered group