Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Hatcher-Topology-of-Numbers
· Problem 8.4.5
Quadratic Fields
Mathematics — Algebraic Topology · norm-of-ideal
Problem
Use the formula
N
(
L
M
)
=
N
(
L
)
N
(
M
)
N(LM) = N(L)N(M)
N
(
L
M
)
=
N
(
L
)
N
(
M
)
with
L
=
(
α
)
L = (\alpha)
L
=
(
α
)
and
M
=
(
α
‾
)
M = (\overline{\alpha})
M
=
(
α
)
to give another proof that
N
(
(
α
)
)
=
∣
N
(
α
)
∣
N((\alpha)) = |N(\alpha)|
N
((
α
))
=
∣
N
(
α
)
∣
.
Related theory
Ideal And Non Ideal Solutions
Browse the problem library