Non-associative algebras

abstract algebra with alternative multiplication

not-necessarily-associative commutative algebra over a field satisfiying the identity (𝑥𝑦)𝑥²=𝑥(𝑦𝑥²)

algebra over a field

module over a commutative ring with a bilinear product [–, –] such that for any element x, [–, x] is a derivation

theorem on finite-dimensional unital real non-associative algebras endowed with a positive-definite quadratic form

algebra whose internal binary operation over its base set is associative and commutative at least for any triplet of the same base set whose first and last of the three items are equal