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.
A graduate student friend and I have spent the better part of our graduate careers going through Lam's A First Course in Noncommutative Rings. Neither of us is a noncommutative ring theorist, so it was basically just a hobby for us (that's why it has taken so long). Actually we skipped a lot in both books (there is a lot there!). But we did enjoy them. This is not bedtime reading, but it has been a good introduction for us non-specialists.
This book features the clear exposition, excellent examples, and variety of interesting exercises that I've come to expect from Lam's books.
I still enjoy this book, and it was definitely indispensable during my graduate study. It contains *a lot* of topics (I would be amazed if anyone studied it in detail cover to cover!) and so it makes a good reference for basic ring/module theory.
The organization and presentation really make this a pleasure to read.