👉 In mathematics, a subalgebra of a given algebra is a subset that is closed under all operations defined on it. This means that any element in the subalgebra can be obtained by applying an operation defined on the algebra to another element. For example, if A is an algebra over a field F and B is a subalgebra of A, then B is also an algebra over F. The operations defined on B include addition (A + B) and multiplication (B x A).
