Math Amateur
Gold Member
MHB
- 3,920
- 48
I am reading R. Y. Sharp: Steps in Commutative Algebra, Chapter 5 - Commutative Noetherian Rings
Exercise 8.5 on page 147 reads as follows:
--------------------------------------------------------------------------------------------------
8,5 Exercise.
Show that the subring \mathbb{Z} [ \sqrt{-5} ] of the field \mathbb{C} is Noetherian.
---------------------------------------------------------------------------------------------------
Can someone please help me get started on this problem and give me a solution strategy.
Peter
[Note: This has also been posted on MHF]
Exercise 8.5 on page 147 reads as follows:
--------------------------------------------------------------------------------------------------
8,5 Exercise.
Show that the subring \mathbb{Z} [ \sqrt{-5} ] of the field \mathbb{C} is Noetherian.
---------------------------------------------------------------------------------------------------
Can someone please help me get started on this problem and give me a solution strategy.
Peter
[Note: This has also been posted on MHF]
Last edited: