"Nommutative Rings" provides a cross-section of ideas, techniques and results that give the reader an idea of that part of algebra which concerns itself with noncommutative rings. In the space of 200 pages, Herstein covers the Jacobson radical, semisimple rings, commutativity theorems, simple algebras, representations of finite groups, polynomial identities, Goldie's theorem and the Golod-Shafarevitch theorem. Almost every practicing ring theorist has studied portions of this classic monograph.
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A classic advanced textbook, containing a cross-section of ideas, techniques and results that give the reader an unparalleled introductory overview of the subject. The author gives an integrated presentation of overall theory and its applications in, for example, the study of groups of matrices, and group representations.About the Author:
I. N. Herstein received a Ph.D. in 1948 for a thesis written under Zorn's supervision. He worked at the University of Kansas for two years, then at Ohio State University for a year before being appointed to Chicago in 1951. There he was influenced by Abraham Albert. During this time he worked on a topic which was to be one of the main themes of his work, namely on conditions on a ring which imply commutativity. After posts at Pennsylvania and Cornell, he returned to Chicago in 1962 and remained there for the rest of his life. Herstein is perhaps best known for his beautifully written algebra texts, especially the undergraduate text Topics in algebra (1964).
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Descrizione libro The Mathematical Association o, 2005. Paperback. Condizione libro: New. Codice libro della libreria P110883850397