- {(: ) -ahcer} (2) Let T : a, b, c ER} and g: T → R be defined by a = a

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2
Show that the following are ring homomorphisms and find their kernel. For each kernel, answer the follow-
ing: is it a prime ideal? A maximal ideal? Prove your answers.
(1) f: C → M2(R) defined by
f(a + bi) = (, 2)
(2) Let T =
: a, b, c € R } and g: T → R be defined by
а
= a
Transcribed Image Text:Show that the following are ring homomorphisms and find their kernel. For each kernel, answer the follow- ing: is it a prime ideal? A maximal ideal? Prove your answers. (1) f: C → M2(R) defined by f(a + bi) = (, 2) (2) Let T = : a, b, c € R } and g: T → R be defined by а = a
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