👉 In mathematics, an idealogy is a set of mathematical objects that are considered to be equivalent or interchangeable. It is often used in the context of algebraic structures such as groups, rings, and fields. An idealogy can be defined by specifying a set of elements (also known as generators) from which all other elements (also called ideals) may be constructed. For example, if we have two sets A and B, their intersection is an ideal I = A ∩ B. The set