Non-associative algebra

algebraic structure with a binary operation

square array with symbols that each occur once per row and column

In mathematics, especially in abstract algebra, a quasigroup is an algebraic structure that resembles a group in the sense that "division" is always possible. Quasigroups differ from groups mainly in that the associative and identity element properties are optional. In fact, a nonempty associative quasigroup is a group.

Property of some binary operations, such as the cross product and any ring's commutator

set of related mathematical properties

vertex algebra equipped with a conformal element

In abstract algebra, the term associator is used in different ways as a measure of the non-associativity of an algebraic structure. Associators are commonly studied as triple systems.

property of a binary operation

unital nonassociative algebra over the real numbers generated by generators 𝑖, 𝑗, 𝑘 that mutually anticommute and each square to +1

algebraic structure

concepts in abstract algebra