3. Let A : →P be given by I1 12 0, 2' 22 In A(T1,..., In, ...) = In,...) 2n a) Prove that A is compact. b) Find the spectrum of A.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter6: More On Rings
Section6.2: Ring Homomorphisms
Problem 6E
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3. Let A: P → P be given by
In
A(T1,..., Tn ...) =
0,
2' 22
%3D
2n
a) Prove that A is compact.
b) Find the spectrum of A.
Transcribed Image Text:3. Let A: P → P be given by In A(T1,..., Tn ...) = 0, 2' 22 %3D 2n a) Prove that A is compact. b) Find the spectrum of A.
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