Book recommendation on Primary decomposition of ideals

Question

I'm trying to prepare a presentation on "Primary Decomposition of Ideals" which is the title of my project. But I'm new for the subject so I need help on the following points

• How to outline my presentation (Important points that I should mention)

• Important resources

• A well written Books which are easy to understand

Thanks!

Answer 1

The book "Introduction to commutative algebra" by "Atiyah-Macdonald" is good terse text. But since you want a Book which is easy to understand, the book "Steps in Commutative Algebra" by "R.Y.Sharp" would be better for you, (it has more explanation).

Maybe the book Monomial Ideals by "Herzog-Hibi" is the best for you, if you want to see examples of "Primary Decomposition of Ideals" in polynomial rings, and illustrates the procedure of such a presentation (Section 1.3)