i1 : A = QQ{x,y,z}
o1 = A
o1 : NCPolynomialRing
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i2 : p = y*z + z*y - x^2
2
o2 = zy+yz-x
o2 : A
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i3 : q = x*z + z*x - y^2
2
o3 = zx-y +xz
o3 : A
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i4 : r = z^2 - x*y - y*x
2
o4 = z -yx-xy
o4 : A
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i5 : I = ncLeftIdeal{p,q}
2 2
o5 = Left ideal {zy+yz-x , zx-y +xz}
o5 : NCLeftIdeal
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i6 : J = ncLeftIdeal r
2
o6 = Left ideal {z -yx-xy}
o6 : NCLeftIdeal
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i7 : I + J
2 2 2
o7 = Left ideal {zy+yz-x , zx-y +xz, z -yx-xy}
o7 : NCLeftIdeal
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