On \(*\)-orderable groups.

DOI10.1016/J.JPAA.2004.12.024zbMath1107.16029OpenAlexW2079289649MaRDI QIDQ557056

Primož Moravec, Igor Klep

Publication date: 23 June 2005

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2004.12.024

zbMATH Keywords

residually torsion-free nilpotent groupsorderable metabelian groups\(*\)-orderable groupscomplex group rings

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Nilpotent groups (20F18) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Ordered groups (06F15) Topological and ordered rings and modules (16W80) Ordered groups (group-theoretic aspects) (20F60)

Related Items (3)

\(*\)-orderable semigroups. ⋮ Central extensions of \(*\)-ordered skew fields ⋮ Embedding \(*\)-ordered domains into skew fields.

Cites Work

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• Orderings and \(*\)-orderings on cocommutative Hopf algebras
• Strong ordering of *-fields
• Group rings and their augmentation ideals
• *-orderings and *-valuations on algebras of finite Gelfand-Kirillov dimension.
• Places on ∗- fields and the real holomorphy ring
• ^*-Orderings on a ring with involution
• On Valuations, Places and Graded Rings Associated to ∗-Orderings
• Ordered \(*\)-rings

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