The function f : Z → Z2 given by f(x) = [x] has these properties: • Væ, y E Z, f(x + y) = f(x)+ f(y) • Væ, y E Z, f(xy) = f(x) · f(y) This function is a(n): one-to-one correspondence ring isomorpishm ring bijection ring homomorphism O injection

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The function f : Z → Z2 given by f(x) = [x] has these properties:
• Væ, y E Z, f(x + y) = f(x) + f(y)
• Væ, y E Z, f(xy) = f(x) · f(y)
f(æ) · f(y)
This function is a(n):
one-to-one correspondence
ring isomorpishm
ring bijection
ring homomorphism
O injection
Transcribed Image Text:The function f : Z → Z2 given by f(x) = [x] has these properties: • Væ, y E Z, f(x + y) = f(x) + f(y) • Væ, y E Z, f(xy) = f(x) · f(y) f(æ) · f(y) This function is a(n): one-to-one correspondence ring isomorpishm ring bijection ring homomorphism O injection
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