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I am teaching myself noncommutative ring theory and have started reading T.Y. Lam's A First Course in Noncommutative Rings, but I find it quite difficult. What are the prerequisites for this book? I have also studied parts of Introduction to Noncommutative Algebra by M. Brešar, which seems more accessible, but I still struggle to fully appreciate many results.

I have completed an MSc in pure mathematics with a background in abstract algebra, group theory, and ring theory. However, I am having difficulty understanding certain ring-theoretic concepts, such as ideals generated by elements, the construction of free algebras, and the classical right quotient ring of .

Could you recommend books that would help me build my knowledge step by step?

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  • $\begingroup$ archive.org/details/noncommutativeri0000hers $\endgroup$ Commented Feb 19 at 23:10
  • $\begingroup$ Isaacs book on algebra maybe a good start $\endgroup$ Commented Feb 19 at 23:14
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    $\begingroup$ Not sure about the close reason for this question:. I don't think it's necessarily off-topic. At least, many other questions asking for book recommendations have not been closed. Perhaps it is a (partial?) duplicate, though, of some other question asking for introductory books on noncommutative ring theory. $\endgroup$ Commented Aug 13 at 15:52

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