👉 In mathematics, a homomorphism is a function that maps elements of one algebra (such as a ring or field) to another algebra (such as a vector space or module). It's like when you have two different shapes and you want to know which shape has the same area. A homomorphism tells you which shape has the same area, regardless of the shape itself. For example, if we have a group G and a subgroup H, then the operation on H is given by h