Show that the mapping f: Z (VZ)→Z(VZ) defined by f(a + bV2) = a – bv2 is an automorphism on the ring Z (V2) = {a + bv2 : a, be Z} under usual addition and usual multiplication of real numbers. %3D

MATLAB: An Introduction with Applications
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8. Show that the mapping f: z (VZ) →Z(VZ) defined by f(a+bv2) = a – b\2-is an
automorphism on the ring Z (V2)= {a + bv2 : a, b e Z} under usual addition and
usual multiplication of real numbers.
|
%3D
Transcribed Image Text:8. Show that the mapping f: z (VZ) →Z(VZ) defined by f(a+bv2) = a – b\2-is an automorphism on the ring Z (V2)= {a + bv2 : a, b e Z} under usual addition and usual multiplication of real numbers. | %3D
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