Reference book to study dimension theory.

207 Views Asked by At

I'm looking for a book to study Dimension theory, In particular I want a book(s) which covers the following topics:

  1. Krull dimension and examples. Dimension of an integral extension.
  2. Noether's Normalization Lemma and its consequences.
  3. Graded rings and modules, Hilbert functions and series, Hilbert’s Theorem.
  4. Hilbert-Samuel functions and polynomials, System of parameters, Dimension Theorem.
  5. Dimension of polynomial rings over noetherian rings.
  6. 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.