👉 An anticommutative operation is an operation that does not have a corresponding inverse. In other words, it does not change the value of the result but instead changes the order or direction of the input values. Anticommutative operations can be used to define new mathematical structures, such as Boolean algebras and monoids, by associating them with certain binary operations in a way that maintains their properties. For example, in the context of Boolean algebra, if we have two variables x and
