Dynastic order Dynastic order A dynastic order, monarchical order, or house order, is an order under royal patronage, bestowed by the head of a currently or formerly sovereign royal family as legitimate fons honorum. These are often considered part of the cultural patrimony of the royal family. They are orders of chivalry, and orders of merit just as those distributed by sovereign states, but dynastic orders were often founded or maintained to reward service to a monarch, or the monarch's subsequent dynasty. An example of this difference is seen between the Royal Victorian Order, in which appointments are made as a personal
Group ring Group ring In algebra, a group ring is a free module and at the same time a ring, constructed in a natural way from any given ring and any given group. As a free module, its ring of scalars is the given ring, and its basis is one-to-one with the given group. As a ring, its addition law is that of the free module and its multiplication extends "by linearity" the given group law on the basis. Less formally, a group ring is a generalization of a given group, by attaching to each element of the group a "weighting factor"