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A First Course in Noncommutative Rings, an outgrowth of the author's lectures at the University of California at Berkeley, is intended as a textbook for a one-semester course in basic ring theory. The material covered includes the Wedderburn-Artin theory of semisimple rings,Jacobson's theory of the radical, representation theory of groups and algebras, prime and semiprime rings, primitive and semiprimitive rings, division rings, ordered rings, local and semi-local rings, perfect and semiperfect rings, and so forth. By aiming the level of writing at the novice rather than the connoisseur and by stressing the role of examples and motivation, the author has produced a text that is suitable not only for use in a graduate course, but also for self-study in the subject by interested graduate students. More than 400 exercises testing the understanding of the general theory in the text are included in this new edition.
|DATE DE PUBLICATION||2001-Jan-01|
|TAILLE DU FICHIER||1,43 MB|
|NOM DE FICHIER||A First Course in Noncommunicative Rings.pdf|
17-mar-2016 - A First Course in Noncommutative Rings / by T.Y. Lam. QA 251.4 L22 Cuídate y protege tu salud. Lávate las manos y cumple con las medidas de distanciamiento social.
You are also probably aquainted with the larger sets of real numbers, R, and complex numbers, C. In each of these cases we have a set of elements, which is equipped with two operations called addition and multiplication. Each of these is an example of an abstract concept called a ring. In this chapter we will give an abstract definition of this ...