Loop algebras of indecomposable r.a.loops∗

DOI10.1080/00927879408824910zbMath0813.17028OpenAlexW2011583845MaRDI QIDQ4288273

Eric Jespers, Guilherme Leal, Francisco César Polcino Milies

Publication date: 6 June 1995

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879408824910

zbMATH Keywords

Cayley-Dickson algebraalternative ringalternative loop ringunit loopring alternative loop

Mathematics Subject Classification ID

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

Related Items (5)

ALGEBRAIC ELEMENTS IN ALTERNATIVE LOOP ALGEBRAS ⋮ Alternative loop rings with solvable unit loops ⋮ Units of group rings ⋮ Finite generation of units in alternative loop rings ⋮ Jordan decompositions in alternative loop rings

Cites Work

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• Units in alternative loop rings
• Semi-simplicity of alternative loop rings
• Einheiten in Z(D//2m)
• Isomorphic group (and loop) algebras
• Describing units of integral group rings of some 2-groups
• Construction of Units in Integral Group Rings of Finite Nilpotent Groups
• Loops whose loop rings are alternative
• Torsion Units in Alternative Loop Rings
• Six Moufang Loops of Units
• Moufang loops of small order
• Moufang Loops of Small Order. I
• Abelian Group Algebras of Finite Order

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