Non-associative algebra | Group theory

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In mathematics, a Moufang loop is a special kind of algebraic structure. It is similar to a group in many ways but need not be associative. Moufang loops were introduced by Ruth Moufang. Smooth Moufang loops have an associated algebra, the Malcev algebra, similar in some ways to how a Lie group has an associated Lie algebra. (Wikipedia).

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Monster group | Lie group | Algebraic structure | If and only if | Finite field | Quasigroup | Bol loop | Octonion algebra | Group (mathematics) | Malcev algebra | Moufang polygon | Flexible algebra | Alternativity | Characteristic (algebra) | Mathematics | Binary Golay code | Field (mathematics) | Octonion | Lagrange's theorem (group theory) | Identity (mathematics) | Lie algebra | Moufang plane | Inverse element | Split-octonion | Alternative algebra