Rings, Groups, and Algebras  book cover
1st Edition

Rings, Groups, and Algebras





ISBN 9781138401990
Published July 27, 2017 by CRC Press
352 Pages

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Book Description

"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 "

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Series Editor(s)

Biography

X. H. CAO is a Professor of Mathematics at the East China Normal University, Shanghai, People's Republic of China. He received the Ph.D. degree (I 950) from the University of Michigan, Ann Arbor. S. X. Liu is a Professor of Mathematics and former Chairman of the Institute of Mathematics at Beijing Normal University, People's Republic of China. He received the Ph.D. degree (1956) in mathematics from Moscow M. V. Lomonosov State University, Russia. K. P. SHUM is a Senior Lecturer in mathematics at the Chinese University of Hong Kong, Shatin, New Territories, Hong Kong, and a former President of the Southeast Asian Mathe­matical Society. He received the Ph.D. degree (1971) in mathematics from the University of Alberta, Edmonton, Canada. C. C. YANG is a Professor ofMathematics at the Hong Kong University of Science and Tech­nology, Clear Water Bay, Kowloon, Hong Kong. He received the Ph.D. degree (1979) in mathematics from the University of Wisconsin-Madison.