For my bachelor thesis my goal is to understand the reasoning behind "Hilbert series" and how they connect to the idea of "dimension".

https://en.wikipedia.org/wiki/Hilbert_series_and_Hilbert_polynomial

Concepts like modules and graded algebras are rather unfamiliar to me. I have not encountered these before.

I am familiar with:

Rings, groups and fields, both from linear algebra and a standard course in abstract algebra.

Gröbner basis, monomials ideals. From a course on computational algebraic geometry.

I am looking for some books/notes that could help me understand the concepts that surround Hilbert Series, preferably an introductory book along with a recommendation for further reading. It seems that I am requesting an "introductory commutative algebra" book.

If anybody also knows a good place for video lectures, this would be greatly appreciated.