👉 In mathematics, a semiproduct is a type of operation that can be performed on elements in a category or monoidal category. It is defined as follows: Let C and D be categories with monoidal structures (a natural transformation f : A → B between functors), where A and B are objects in the respective categories. The semiproduct of two objects A and B in C, denoted by A ∪ B, is a new category whose objects are elements that satisfy certain properties
