A First Course in Noncommutative Rings - Graduate Texts in Mathematics - T.Y. Lam - Libros - Springer-Verlag New York Inc. - 9781468404081 - 4 de marzo de 2012
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T.Y. Lam
A First Course in Noncommutative Rings - Graduate Texts in Mathematics Softcover reprint of the original 1st ed. 1991 edition

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One of my favorite graduate courses at Berkeley is Math 251, a one-semester course in ring theory offered to second-year level graduate students. I taught this course in the Fall of 1983, and more recently in the Spring of 1990, both times focusing on the theory of noncommutative rings. This book is an outgrowth of my lectures in these two courses, and is intended for use by instructors and graduate students in a similar one-semester course in basic ring theory. Ring theory is a subject of central importance in algebra. Historically, some of the major discoveries in ring theory have helped shape the course of development of modern abstract algebra. Today, ring theory is a fer­ tile meeting ground for group theory (group rings), representation theory (modules), functional analysis (operator algebras), Lie theory (enveloping algebras), algebraic geometry (finitely generated algebras, differential op­ erators, invariant theory), arithmetic (orders, Brauer groups), universal algebra (varieties of rings), and homological algebra (cohomology of rings, projective modules, Grothendieck and higher K-groups). In view of these basic connections between ring theory and other branches of mathemat­ ics, it is perhaps no exaggeration to say that a course in ring theory is an indispensable part of the education for any fledgling algebraist. The purpose of my lectures was to give a general introduction to the theory of rings, building on what the students have learned from a stan­ dard first-year graduate course in abstract algebra.

397 pages, biography

Medios de comunicación Libros     Paperback Book   (Libro con tapa blanda y lomo encolado)
Publicado 4 de marzo de 2012
ISBN13 9781468404081
Editores Springer-Verlag New York Inc.
Páginas 397
Dimensiones 155 × 235 × 21 mm   ·   585 g
Lengua Inglés  

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