Rational operators of the space of formal series.

DOI10.1007/s10958-008-0059-3zbMath1152.16034OpenAlexW2004382654MaRDI QIDQ950846

Nikolay Dubrovin

Publication date: 28 October 2008

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-008-0059-3

zbMATH Keywords

group ringsleft ordered groupsdivisorial fractional right idealsexceptional chain ordersuniversal covering groupsvaluated skew fields

Mathematics Subject Classification ID

Group rings (16S34) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Infinite-dimensional and general division rings (16K40) Ideals in associative algebras (16D25) Ordered groups (06F15)

Related Items (2)

Stable decomposability of matrices over the rational closure of a group algebra of an ordered group ⋮ Some results relevant to embeddability of rings (especially group algebras) in division rings

Cites Work

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• Invertibility of the group ring of a right-ordered group over a skew field
• Zur Bewertungstheorie nicht kommutativer Körper
• Complexity of elements in rings
• Topological linear spaces of formal sums.
• RATIONAL CLOSURES OF GROUP RINGS OF LEFT-ORDERED GROUPS
• Cones in groups
• Formal sums and power series over a group
• A classification and examples of rank one chain domains

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