👉 In mathematics, a "unclead" is an algebraic object that has no multiplicative inverse. It is defined as a ring homomorphism that is surjective but not injective. For example, if R is a commutative ring with 1 and f : R → R is a non-constant ring homomorphism, then R is the quotient of the left ideal generated by its kernel. The quotient ring R/ker(f) has no multiplicative inverse because it is
