A First Course in Noncommutative Rings | SpringerLink

A First Course in Noncommutative Rings T. Y. Lam Department of Mathematics, University of California, Berkeley, Berkeley, USA Table of contents (8 chapters) Back Matter Pages 370-388 PDF About this book 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, local and semilocal rings, perfect and semiperfect rings, etc. By aiming the level of writing at the novice rather than the connoisseur and by stressing th 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. Keywords Noncummutative ringsalgebrabasic ring theorycommutative ringrepresentation theoryring theory Reviews From the…

A First Course in Noncommutative Rings … – Springer Link

A First Course in Noncommutative Rings T. Y. Lam Department of Mathematics, University of California, Berkeley, USA Table of contents (8 chapters) Back Matter Pages 381-400 PDF About this book 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),…

A First Course in Noncommutative Rings (Graduate Texts in …

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A First Course in Noncommutative Rings – Tsit-Yuen Lam

A First Course in Noncommutative RingsSpringer Science & Business Media, 21 thg 6, 2001 – 385 trang 1 Bài đánh giáGoogle không xác minh bài đánh giá nhưng có kiểm tra để tìm nội dung giả và xoá nội dung đó khi tìm thấyThis book, 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, local and semilocal rings, perfect and semiperfect rings, etc. 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…

A First Course in Noncommutative Rings – Tsit-Yuen Lam

A First Course in Noncommutative RingsSpringer Science & Business Media, 21 thg 6, 2001 – 388 trang 1 Bài đánh giáGoogle không xác minh bài đánh giá nhưng có kiểm tra để tìm nội dung giả và xoá nội dung đó khi tìm thấyThis book, 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, local and semilocal rings, perfect and semiperfect rings, etc. 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.

A First Course in Noncommutative Rings – T.Y. Lam

A First Course in Noncommutative RingsSpringer Science & Business Media, 6 thg 12, 2012 – 397 trang 0 Bài đánh giáGoogle không xác minh bài đánh giá nhưng có kiểm tra để tìm nội dung giả và xoá nội dung đó khi tìm thấyOne 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…

A First Course in Noncommutative Rings

A First Course in Noncommutative RingsWhile I was reading Lam’s First Course in Noncommutative Rings, I often found myself thinking “what a good book this is” and then wondering how to explain what made it such a good book. It’s certainly not just that the results are true and the proofs correct — that’s the minimum standard for a mathematics book. But it’s hard to put one’s finger on what it is exactly. It helps, of course, that this is a fascinating subject. The book opens with the Wedderburn-Artin theorems about simple and semisimple rings, which is surely one of the great results of early twentieth century mathematics. Then comes the theory of the Jacobson radical, the great advance made in the middle of that century. It’s truly beautiful stuff. And it’s also powerful, as the third chapter demonstrates. Lam deploys the theory he has developed in the first two chapters to give an elegant account of the…

A First Course in Noncommutative Rings / Edition 2

A First Course in Noncommutative Rings / Edition 2|Paperback 9780387953250 A First Course in Noncommutative Rings / Edition 2 available in Hardcover, Paperback ISBN-10: 0387953256 ISBN-13: 9780387953250 Pub. Date: 06/21/2001 Publisher: Springer New York ISBN-10: 0387953256 ISBN-13: 9780387953250 Pub. Date: 06/21/2001 Publisher: Springer New York Aimed at the novice rather than the connoisseur and stressing the role of examples and motivation, this text 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. Related collections and offers Product Details Table of Contents Product Details ISBN-13: 9780387953250 Publisher: Springer New York Publication date: 06/21/2001 Series: Graduate Texts in Mathematics , #131 Edition description: 2nd ed. 2001 Pages: 388 Product dimensions: 6.10(w) x 9.25(h) x 0.03(d) Table of Contents* Wedderburn-Artin Theory * Jacobson Radical Theory *…

A First Course in Noncommutative Rings / Edition 1 by T.Y. Lam

A First Course in Noncommutative Rings / Edition 1|Paperback 9781468404081 A First Course in Noncommutative Rings / Edition 1 available in Paperback ISBN-10: 1468404083 ISBN-13: 9781468404081 Pub. Date: 03/04/2012 Publisher: Springer New York ISBN-10: 1468404083 ISBN-13: 9781468404081 Pub. Date: 03/04/2012 Publisher: Springer New York 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…