show the ring is simple ring.

show the ring is simple ring.

pConsider polynomial ring $R[x,y]$ where $x$ and $y$ are noncommuting
indeterminates and also we have the relation $xy-yx=1$. Prove that this
ring is a simple ring./p pSimple means that the ideals of this ring are
$\{0\}$ and the whole ring./p