Abstract
Abstract In the current Chinese surname system, children adopt their father's surname. According to the deep-rooted traditional conception formed in the past thousands of years, people are willing to have a son to continue their family line. This has caused increasingly serious imbalance in the proportion between male and female populations and can bring about relevant social problems. The aim of this study is to design a new surname system for the Chinese nation, i.e. children will adopt neither their father's surname nor their mother's surname, and their parents' surnames can be inferred according to their surnames, so as to attain the goals that men and women are equal and it is the same to give birth to a son or a daughter. The method is to provide a relevant algebraic system and make the surname and the first character of the name correspond to the relevant codes in the said algebraic system; and then infer someone's genealogical structure through relevant operation. The design method of the surname system with 3 n surnames is given, and illustrate it by taking as an example the design method of 9 surnames. Currently, in almost all the countries in the world, children adopt their father's surname, and the aforesaid design method, in principle, is applicable to other countries or nations.
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