The Radical of a Modular Alternative Loop Algebra

DOI10.2307/2161068zbMath0845.17025OpenAlexW4255787188MaRDI QIDQ4874177

Edgar G. Goodaire

Publication date: 11 September 1996

Full work available at URL: https://doi.org/10.2307/2161068

zbMATH Keywords

radicalaugmentation idealalternative loop algebra\(RA2\) loop

Mathematics Subject Classification ID

Group rings (16S34) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Loops, quasigroups (20N05) Alternative rings (17D05)

Related Items

The unit loop of finite loop algebras of loops of order 32.

Cites Work

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• Semi-simplicity of alternative loop rings
• Loops whose loop rings are alternative
• Moufang loops of small order
• An "Extra" Law for Characterizing Moufang Loops
• Loops whose loop rings in characteristic 2 are alternative
• The Structure of the Group Ring of a p-Group Over a Modular Field
• Some Results in the Theory of Linear Non-Associative Algebras