Exercises :- 1- Show that: (Z24 / {0,6, 12 ,18},+,.) = (Z6, +6 r6) 2- Show that: (Z20 /{0,10},+,.) is isomorphic ring to (Z10, +10 r10) . 3- Show that : (Z40 /{Õ,10,20,30},+,.) is isomorphic ring to (Z10, +10 10). 4- Show that : (Z49 /{0,7,14,21,28, 35,42},+,.) is isomorphic ring to (Z10, +10 r10) .

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 40E
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Exercises :-
1- Show that: (Z24 / {0,6,12,18},+,.) - (Z6, +6 r6)
2- Show that: (Z20 /f0, 10},+,.) is isomorphic ring
to (Z10, +10 r10).
3- Show that : (Z40 /{0,10,20,30},+,.) is isomorphic ring
to (Z10, +10 10).
4- Show that: (Z49 /{0,7,14,21,28, 35,42},+,.) is isomorphic
ring to (Z10, +10 r10) .
Transcribed Image Text:Exercises :- 1- Show that: (Z24 / {0,6,12,18},+,.) - (Z6, +6 r6) 2- Show that: (Z20 /f0, 10},+,.) is isomorphic ring to (Z10, +10 r10). 3- Show that : (Z40 /{0,10,20,30},+,.) is isomorphic ring to (Z10, +10 10). 4- Show that: (Z49 /{0,7,14,21,28, 35,42},+,.) is isomorphic ring to (Z10, +10 r10) .
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