I'm looking for a book to study Dimension theory, In particular I want a book(s) which covers the following topics:
- Krull dimension and examples. Dimension of an integral extension.
- Noether's Normalization Lemma and its consequences.
- Graded rings and modules, Hilbert functions and series, Hilbert’s Theorem.
- Hilbert-Samuel functions and polynomials, System of parameters, Dimension Theorem.
- Dimension of polynomial rings over noetherian rings.
- Normal rings and their characterizations and properties. Finiteness of integral closure
Please suggest me a good book(s) which covers the above topics. (I'm planning to do self study, so if any of the book(s) is intended for self study it's really good. Even if not, I hope I can do, so you don't have to restrict to books intended for self study). Thanks.