Nonassociative Algebra

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3 domain-specific abstractions whose origin domain is Nonassociative Algebra.

• Power Associativity — Require associativity inside every one-generated substructure so repeated powers are independent of parenthesization even when mixed-element products are not.
• Quasifield — A nonassociative division-like algebra whose additive structure is a group and whose multiplication supports division while satisfying only selected distributive laws.
• Triple system — Equip a vector space with a trilinear product returning to that space, creating a generic ternary algebra whose added identities specialize it into Lie, Jordan, and geometry-bearing triple systems.