Semi-simplicity of alternative loop rings

DOI10.1007/BF01903938zbMath0634.17014OpenAlexW2013894741MaRDI QIDQ1096713

Edgar G. Goodaire, Michael M. Parmenter

Publication date: 1987

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01903938

zbMATH Keywords

alternative loop ringssemiprime group ring

Mathematics Subject Classification ID

Loops, quasigroups (20N05) Alternative rings (17D05)

Related Items (8)

Loop algebras of indecomposable r.a.loops^∗ ⋮ Isomorphisms of integral alternative loop rings ⋮ Finite conjugacy in alternative loop algebras ⋮ Finite subloops of units in an alternative loop ring ⋮ The Radical of a Modular Alternative Loop Algebra ⋮ Unnamed Item ⋮ On sernisimple alternative loop algebras ⋮ Torsion Units in Alternative Loop Rings

Cites Work

• Loops whose loop rings are alternative
• On the Group Ring
• Unnamed Item
• Unnamed Item

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