Isomorphisms of integral alternative loop rings

DOI10.1007/BF02844273zbMath0696.17015MaRDI QIDQ910485

Edgar G. Goodaire, Francisco César Polcino Milies

Publication date: 1988

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

zbMATH Keywords

Moufang loopalternative algebrasloop ringright alternative algebras

Mathematics Subject Classification ID

Loops, quasigroups (20N05) Alternative rings (17D05) Right alternative rings (17D15)

Related Items (7)

Units in alternative integral loop rings ⋮ Loop algebras of code loops ⋮ Finite subloops of units in an alternative loop ring ⋮ Integral Loop Rings of Loops Whose Derived Subloop Is Central ⋮ Units of group rings and a conjecture of H. J. Zassenhaus ⋮ Unnamed Item ⋮ Torsion Units in Alternative Loop Rings

Cites Work

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• Composition algebras and their automorphisms
• 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
• Automorphisms of the Integral Group Ring of S n
• On the Isomorphism of Integral Group Rings. I

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