Reviews in Ring Theory, 1960-1984
Author :
Publisher : Amer Mathematical Society
Page : pages
File Size : 12,96 MB
Release : 1986-01-01
Category :
ISBN : 9780821801475
Author :
Publisher : Amer Mathematical Society
Page : pages
File Size : 12,96 MB
Release : 1986-01-01
Category :
ISBN : 9780821801475
Author :
Publisher :
Page : pages
File Size : 17,66 MB
Release : 1986
Category : Associative algebras
ISBN : 9780821800973
Author : Lance W. Small
Publisher :
Page : 685 pages
File Size : 49,84 MB
Release : 1986
Category :
ISBN :
Author : Lynn Arthur Steen
Publisher : Mathematical Association of America (MAA)
Page : 226 pages
File Size : 44,8 MB
Release : 1992
Category : Mathematics
ISBN :
Author : Lance W. Small
Publisher :
Page : 552 pages
File Size : 23,27 MB
Release : 1981
Category : Mathematics
ISBN :
Author : Tsit-Yuen Lam
Publisher : Springer Science & Business Media
Page : 577 pages
File Size : 34,88 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1461205255
This new book can be read independently from the first volume and may be used for lecturing, seminar- and self-study, or for general reference. It focuses more on specific topics in order to introduce readers to a wealth of basic and useful ideas without the hindrance of heavy machinery or undue abstractions. User-friendly with its abundance of examples illustrating the theory at virtually every step, the volume contains a large number of carefully chosen exercises to provide newcomers with practice, while offering a rich additional source of information to experts. A direct approach is used in order to present the material in an efficient and economic way, thereby introducing readers to a considerable amount of interesting ring theory without being dragged through endless preparatory material.
Author : Lance W. Small
Publisher :
Page : 712 pages
File Size : 22,1 MB
Release : 1986
Category : Mathematics
ISBN :
Author : American Mathematical Society
Publisher :
Page : 142 pages
File Size : 30,87 MB
Release : 1985
Category : Mathematics
ISBN :
Author : T.Y. Lam
Publisher : Springer Science & Business Media
Page : 410 pages
File Size : 47,9 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1468404067
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.
Author :
Publisher :
Page : pages
File Size : 30,52 MB
Release : 1981
Category :
ISBN :