composition algebra

Fetched 2026-10-26 (cache).

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Noun

1. {{lb|en|algebra}} A [[non-associative algebra|non-associative]] (not necessarily associative) {{l|en|algebra}}, ''A'', over some field, together with a [[nondegenerate]] [[quadratic form]], ''N'', such that ''N''(''xy'') = ''N''(''x'')''N''(''y'') for all ''x'', ''y'' ∈ ''A''.

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