1. ## 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

2. 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