18.4.8. Let R a² = = Z[10], and let N: R → Z≥º defined by N(a + b√√−10) 1062 be the usual norm function. Prove that the norm function is not a degree function for R.
18.4.8. Let R a² = = Z[10], and let N: R → Z≥º defined by N(a + b√√−10) 1062 be the usual norm function. Prove that the norm function is not a degree function for R.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
Problem 10EQ
Question
![18.4.8. Let R
a²
=
=
Z[10], and let N: R → Z≥º defined by N(a + b√√−10)
1062 be the usual norm function. Prove that the norm function is
not a degree function for R.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff5fbaae5-8d47-4476-8095-8b380294ae7e%2F47873219-81e2-44f5-9572-1a9b216bec3c%2F9ymh2i_processed.png&w=3840&q=75)
Transcribed Image Text:18.4.8. Let R
a²
=
=
Z[10], and let N: R → Z≥º defined by N(a + b√√−10)
1062 be the usual norm function. Prove that the norm function is
not a degree function for R.
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