SOLUTION: donner un exemple d'ideal non trivial dans l'anneau M2(IR) l,ensemble des matricr carreé

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Question 1099290: donner un exemple d'ideal non trivial dans l'anneau M2(IR) l,ensemble des matricr carreé
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
I am not sure what your symbol  M2(IR)  exactly denotes.

If it is  M%5B2%5D%28R%29,  the ring of  2x2-matrices over the field of real numbers,  then the answer is 
    There are no non-trivial two-sided ideals in this ring.


It is well known fact.

For relevant discussion,  see the link
https://math.stackexchange.com/questions/22629/why-is-the-ring-of-matrices-over-a-field-simple

https://math.stackexchange.com/questions/22629/why-is-the-ring-of-matrices-over-a-field-simple