Ring theory reference books

Question

I am studying ring theory in this semester. I am new to this theory. Hence, I would like to have some recommendations on what books should be used for ring theory(beginner). If possible, I would like to have a book on theory and a lot of problems( include solution would be nicer,if possible). Can anyone give some recommendations?

score 13 · Accepted Answer · answered Mar 24 '13 at 10:38

13

Personally, I am fond of the following two books in the area you noted:

A First Course in Rings and Ideals by D.M. Burton.
Contemporary Abstract Algebra by J.A.Gallian.

answered Mar 24 '13 at 10:38

Mikasa

67,374

Boris Novikov · Answer 2 · 2013-03-24T11:15:12.477

9

Yu.Drozd, V.Kirichenko, Finite Dimensional Algebras (for 1st reading)

J.Lambek, Lectures on Rings and Modules (for 2nd reading)

I.Herstein, Noncommutative Rings (most preferable for me, but without exercises)

M.Atiyah, I.McDonald, Introduction to Commutative Algebra (if you will study algebraic geometry in the future)

edited Mar 24 '13 at 11:15

answered Mar 24 '13 at 10:45

Boris Novikov

17,470

but aren't these test meant for graduate students? – Idonknow Mar 24 '13 at 13:16
It depends on your level. I think first 2 books are OK. If they are difficult for you, start with some books on general algebra. There are many of them (for example, N.Jacobson, Basic Algebra, v.I; P.Grillet, Abstract Algebra, etc.) – Boris Novikov Mar 24 '13 at 13:49

score 0 · Answer 3 · answered May 30 '22 at 07:19

I very much liked the book "Introduction to Rings and Modules" by C Musili.

The book contains two parts : Rings and Modules.

The ring theory part is very much suitable for beginners in ring theory with lot of examples-counter examples and exercise problems along with true or false questions. Only answers to true false questions are given in the end of the text book.

Ring theory reference books

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