By I. Martin Isaacs
This booklet, in response to a first-year graduate path the writer taught on the college of Wisconsin, includes good enough fabric for a two-semester graduate-level summary algebra direction, together with teams, earrings and modules, fields and Galois conception, an advent to algebraic quantity conception, and the rudiments of algebraic geometry. additionally, there are a few extra really good issues no longer often lined in this type of path. those contain move and personality thought of finite teams, modules over artinian jewelry, modules over Dedekind domain names, and transcendental box extensions. This booklet may be used for self examine in addition to for a direction textual content, and so complete information of virtually all proofs are incorporated, with not anything being relegated to the chapter-end difficulties. There are, despite the fact that, countless numbers of difficulties, many being faraway from trivial. The booklet makes an attempt to seize a number of the informality of the school room, in addition to the thrill the writer felt while taking the corresponding path as a pupil.