Self-learning Book recommendation for topics in ring-theory

Question

I failed badly in my Internal examination in ring theory , and at any cost want to improve upon my grades in the final eamination,with a month and a half to go .... I haven't yet covered the below half of the syllabus.....

Factorization and Divisibility in integral domains, Unique Factorization Domains (UFDs), Principal Ideal Domains (PIDs), Euclidean domains and relationships between them, Primitive Polynomials and Gauss Lemma, Eisenstein’s irreducibility criterion, Factorization of polynomials in one variable over a field, Unique Factorization in R[X], R a UFD

knowing my present condition in algebra,Please if anyone can help me which book I must refer as self study to cover the above topic ,so that the concepts are clear to me...

Thanks in advance for any help..

Answer 1

http://www.wiley.com/WileyCDA/WileyTitle/productCd-1118135350.html

Is what I would suggest. It's what I used to learn about almost all the items you've listed. It's not too terse with lots of examples.

Hope it helps.

Answer 2

Concrete Abstract Algebra. Has a good collection of exercises at the end of each chapter. Author: Niels lauritzen

Answer 3

I would suggest you " artin " abstract algebra. This is very good for a master levels course of abstract algebra. And all the topics you mentioned above is covered in it with lots of example. But for studying the ring theory , a good idea of group Theory is important. It's giving you a inner confidence while studying .

Thanks.