A first course in noncommutative rings
A first course in noncommutative rings
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DOI：
10.2307/3621626
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发表时间：
2002-03
期刊：
影响因子：
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通讯作者：
T. Lam
中科院分区：
文献类型：
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作者：
T. Lam
这段文字，从作者的讲座在加州大学伯克利分校，目的是作为教科书的一个学期课程的基本环理论。所涵盖的材料包括韦德伯恩，阿廷理论的半简单环，雅各布森理论的激进代表理论的团体和代数，总理和半总理环，原始和半原始环，师环，有序环，当地和半当地的环，和完善和半完善的环。通过针对新手而不是专家的写作水平，并通过强调例子和动机的作用，作者制作了一个文本，不仅适合在研究生课程中使用，而且适合其他感兴趣的研究生自学。还包括许多练习。这研究生教科书环，领域和代数是为研究生在数学。
This text, drawn from the author's lectures at the University of California at Berkeley, is intended as a textbook for a one-term course in basic ring theory. The material covered includes the Wedderburn-Artin theory of semi-simple rings, Jacobson's theory of the radical representation theory of groups and algebras, prime and semi-prime rings, primitive and semi-primitive rings, division rings, ordered rings, local and semi-local rings, and perfect and semi-perfect rings. By aiming the level of writing at the novice rather than at the expert, and by stressing the role of examples and motivation, the author has produced a text which is suitable not only for use in a graduate course, but also for self-study by other interested graduate students. Numerous exercises are also included. This graduate textbook on rings, fields and algebras is intended for graduate students in mathematics.