The domain in algebra refers to the set of input values for which a function is defined. It is the set of all possible inputs that the function can accept. For example, in the function f(x)=x−1f(x)=\sqrt{x-1}f(x)=x−1, the domain is the set of real numbers greater than or equal to 1
. In ring theory, a domain is a nonzero ring in which the product of two elements being zero implies that at least one of the elements is zero
. In general, the domain of a function is the set of all values for which the function is defined
