👉 In mathematics, a quotient ring is a ring that can be constructed from another ring by "quoting out" or dividing elements. This operation has many applications in algebra and number theory, as it allows for the manipulation of certain expressions involving rings. For example, consider the following example: Let R be a commutative ring with unity and let I be an ideal in R. The quotient ring R/I is defined by setting R/I = {f(x) / g(x) | f