# Maximal Ideals

• Nov 7th 2009, 08:03 AM
Jutx
Maximal Ideals
How would i go about finding a maximal ideal of a ring C[x,y] / (x²,y²). This is the easiest part of a question but how to do this bit escapes me.

Thanks
• Nov 7th 2009, 09:17 AM
tonio
Quote:

Originally Posted by Jutx
How would i go about finding a maximal ideal of a ring C[x,y] / (x²,y²). This is the easiest part of a question but how to do this bit escapes me.

Thanks

What about the ideal $(x,y)$? It is maximal and it does contain the ideal $(x^2,y^2)$...

Tonio