2 alb a, be a ib (i). I a.beD are aib #o an an integral integral domain associatives abtD domain prietpal 1 {axtby, x₁yD} → (b) = (a) => is (b) c (a) ideal domain ideal ain

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 90E
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Question
(ii).
(el)
alb
a ib
(c).
(i). I
aib
abeD
a.beD
dib #o
H
are
an
1
(d)
An element
ab til
an
some
associatives
integral
integral
d.
Ci
have greatest
e =
or + bs
abtD
pricipal
{ax +by₁x₁g&D } → I is
deD
IS
PID
domain
domain
1
Same
Common
unity
(b) = (a) =>
great
(b) c (a)
risti
ideal clomain
ideal
ain
Common
etD
divisor
drvisor
Then
Transcribed Image Text:(ii). (el) alb a ib (c). (i). I aib abeD a.beD dib #o H are an 1 (d) An element ab til an some associatives integral integral d. Ci have greatest e = or + bs abtD pricipal {ax +by₁x₁g&D } → I is deD IS PID domain domain 1 Same Common unity (b) = (a) => great (b) c (a) risti ideal clomain ideal ain Common etD divisor drvisor Then
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