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

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

If it is , 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

RELATED QUESTIONS
Perimetro de un rectangulo P =2 ( l +w), despeje... (answered by ikleyn)

Use the ideal gas law to find T when P = 6 atm, V = 3 L, n = 5 mol, and R = 0.0821. Round (answered by math_tutor2020)

If L=M2 squared, what is the percentage increase in L if M increases by... (answered by MathLover1)

L=a+(n-1)d... (answered by stanbon)

Find the value of L if A =LW, A =36 m2, and W=12... (answered by Fombitz)

l 8x +8 l =... (answered by harpazo)

V=DK/L ; for... (answered by macston)

if we mixed 60 L of fruit juice. 140 of carbonated water ,and 220 L of non carbonated... (answered by richwmiller)

How much 1% fat milk should we mix with 15% fat cream to obtain 5 litres of 3% fat... (answered by checkley77)