👉 In mathematics, a forbidden algebra is an algebra that cannot be generated by any set of operations. This concept is particularly relevant in the context of Boolean algebras and non-commutative rings. Forbidden algebras are often used to study the properties of these structures, such as their degree and the existence of identities. By restricting the operations allowed on a given algebra, one can gain insight into its structure and behavior. Some examples of forbidden algebras include the Boolean algebra $\mathbb