Ring of the Fisherman Ring of the Fisherman The Ring of the Fisherman (Latin: "Annulus Piscatoris"; Italian: "Anello Piscatorio"), also known as the Piscatory Ring, is an official part of the regalia worn by the Pope, who is head of the Catholic Church and successor of Saint Peter who was a fisherman by trade. It used to feature a bas-relief of Peter fishing from a boat, a symbolism derived from the tradition that the apostles were "fishers of men" (Mark 1:17). The Fisherman's Ring is a signet used until 1842 to seal official documents signed by the Pope. A letter written by Pope Clement
Ring (mathematics) elements in formula_175, and, moreover, any ring homomorphism from "R" that "inverts" "S" uniquely factors through formula_175. The ring formula_175 is called the localization of "R" with respect to "S". For example, if "R" is a commutative ring and "f" an element in "R", then the localization formula_180 consists of elements of the form formula_181 (to be precise, formula_182) The localization is frequently applied to a commutative ring "R" with respect to the complement of a prime ideal (or a union of prime ideals) in "R". In that case formula_183, one often writes formula_184 for formula_175. formula_184 is then a