"Integrates and summarizes the most significant developments made by Chinese mathematicians in rings, groups, and algebras since the 1950s. Presents both survey articles and recent research results. Examines important topics in Hopf algebra, representation theory, semigroups, finite groups, homology algebra, module theory, valuation theory, and more."
Table of Contents
"Structure of Finite Groups, Zhongmu Chen, Wujie Shi, and Guiyen Chen The Representation and Cohomology Theory of Modular Lie Algebras, Sen Chiu Valuation Theory and Generalizations of Hilbert's 17th Problem, Zhizhong Dai and Guangxing Zeng Modules over Hyperfinite Groups, Z.Y. Duan Pointed Groups and Nilpotent Blocks, Yun Fan Near-Rings in China, Yuen Fong The Theory of Formations, Wenbin Guo Some Recent Developments in Filtered Ring and Graded Ring Theory in China, Huishi Li Representation Theory of Finite-Dimensional Algebras in China, Shaoxue Liu and Pu Zhang On Regular Semigroups and Their Generalizations, Karping Shum and Yuqi Guo Primitive Rings, Infinite Matrix Rings, and Morita-like Equivalences, Karping Shum and Yonghua Xu On Maximal Subgroups of Finite Groups, Yamin Wang Recent Developments in Morita Duality, Weimin Xue Some Results on Homological Algebra and Module Theory, Boxun Zhou and Wenting Tong Some Progress in Algebraic K-Theory in China, Boxun Zhou and Wenting Tong "