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Introduces the concept of subsystems closure and studies their existence, uniqueness and structure. Based on this concept, introduces the concept of finitely generated systems, and obtains the result that directed union of systems is still a system. Based on the new concept of systems hereditary properties, discovers several hereditary properties of systems, and points out that the property of finite generativity of systems is not hereditary. Shows that the image and pre‐image of subsystems under homomorphisms are still subsystems, and consequently several homomorphic invariable properties are obtained. Considers subsystems of induced systems and some applications of this research.

The concept of centralized systems is written in the language of set theory in order to take advantage of the rigorous mathematical reasoning. Introduces the concept of centralizable systems. Lists applications of the concepts in sociology, concerning the existence of factions in human society, public issues of contention, and importance level of problems versus media. Finally, poses a number of open questions.

This paper aims to introduce the history and major achievement of the Chinese private enterprise survey (CPES), which is one of the most enduring large-scale nationwide sample surveys in China, providing important micro firm-level data for understanding and studying the development of Chinese enterprises and entrepreneurs over the past 26 years.

The main body of this paper is based on a bibliometric analysis of all literature using CPES until 2017.

This paper discusses problems that users may encounter during data mining. By doing so, it can assist other researchers to get a better understanding of what has been done (e.g. journals, topics, scholars and institutions) and do their research in a more targeted way.

As members of the survey project team, the authors also take a prospect of the future data design and use, as well as offer some suggestions about how to use the CPES data to improve high-quality development and business environment evaluation in China.

This paper is the first to provide an overall picture of academic papers in China and abroad that have used the CPES data.