👉 In mathematics, a homaroid is a type of ideal in a ring. A homaroid is an ideal generated by two or more elements that are also ideals in the ring under consideration. In other words, it is an ideal that is closed under the operation of addition and multiplication by elements from the ring. A homaroid can be defined for any commutative ring R with unity such as Z or Q. The definition involves identifying the set of all elements a + b where a