Ecclesiastical ring the new pope. The pope's ring is not to be confused with the papal seal, which is what the pope uses to seal documents. The Fisherman's Ring is no longer used to seal anything. Except Pope Benedict XVI, who chose to wear his at all times, the ring had not been seen being publicly worn by a pope since the papacy of Pope Pius XII, who refrained from wearing it once his election ceremonies had been concluded. A collection of rings belonging to the popes of the past is exhibited in a glass case in a room within the papal
Localization of a ring "S" to be multiplicatively closed in what follows. In the case "R" is an integral domain there is an easy construction of the localization. Since the only ring in which 0 is a unit is the trivial ring {0}, the localization "R*" is {0} if 0 is in "S". Otherwise, the field of fractions "K" of "R" can be used: we take "R*" to be the subset of "K" consisting of the elements of the form "r"/"s" with "r" in "R" and "s" in of "S"; as we have supposed "S" multiplicatively closed, "R"* is a subring. The standard embedding