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Kunze Linear Algebra
· Problem 4.4.6
Polynomials
Mathematics — Methods · ideal-generated-intersection
Problem
Let
F
F
F
be a field. Show that the ideal generated by a finite number of polynomials
f
1
,
…
,
f
n
f_1, \ldots, f_n
f
1
,
…
,
f
n
in
F
[
x
]
F[x]
F
[
x
]
is the intersection of all ideals containing
f
1
,
…
,
f
n
f_1, \ldots, f_n
f
1
,
…
,
f
n
.
Related theory
Ideal And Non Ideal Solutions
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