Torsion Units in Alternative Loop Rings

DOI10.2307/2048027zbMath0678.17021OpenAlexW4214773193MaRDI QIDQ3834221

Edgar G. Goodaire, Francisco César Polcino Milies

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2048027

zbMATH Keywords

integral loop ringanalogue of the Zassenhaus conjecture

Mathematics Subject Classification ID

Group rings (16S34) Loops, quasigroups (20N05) Units, groups of units (associative rings and algebras) (16U60) Alternative rings (17D05)

Related Items (5)

Units in alternative integral loop rings ⋮ Loop algebras of indecomposable r.a.loops^∗ ⋮ Finite subloops of units in an alternative loop ring ⋮ Hypercentral units in alternative integral loop rings ⋮ Unnamed Item

Cites Work

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• Torsion units in integral group rings of metacyclic groups
• Isomorphisms of integral alternative loop rings
• On a conjecture of Zassenhaus on torsion units in integral group rings
• Units in alternative loop rings
• Semi-simplicity of alternative loop rings
• On the isomorphism problem for integral group rings
• Loops whose loop rings are alternative
• The Units of Group-Rings
• Some Results in the Theory of Linear Non-Associative Algebras

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