Books on Noncommutative Algebra

[Math Amateur]

I would be interested to know from MHB readers, of any books on Noncommutative Algebra you have a high opinion of ... ... especially those that are at the advanced undergraduate and beginning graduate level ...The books I have on this topic are as follows:

Introduction to Noncommutative Algebra by Matej Bresar (Springer 2014)

Bresar states that "the purpose ... is to give a gentle introduction to noncommutative rings and algebras that requires fewer prerequisites than most other books on the subject. ... ... The necessary background to read this book is a standard knowledge of linear algebra and a basic knowledge about groups rings and fields. ... "Noncommutative Algebra by Benson Farb and R. Keith Dennis (Springer-Verlag 1993) [aimed at beginning gradate students]


A First Course in Noncommutative Rings by T.Y. Lam [aimed at students who have done a beginning graduate course in abstract algebra]Introductory Lectures on Rings and Modules by John A. Beachy [focussed on noncommutative aspects of rings and modules, aimed at advanced undergrads/beginning graduates]Basically, I would be interested in readers' opinions of the above books ... ... and I would be VERY interested to hear of any other noncommutative algebra books you have a high opinion of ...

Peter

 

[jvicens]

Cameron's "Introduction to Algebra" (Oxford University Press, 2008) is a great book for an introduction to noncommutative algebra. It covers a wide range of topics, including group theory, rings, modules, and fields, and has a section specifically on noncommutative rings and algebras. The writing style is clear and easy to understand, making it a great resource for both advanced undergraduates and beginning graduate students. I highly recommend it as a comprehensive introduction to noncommutative algebra.