4. a) What are the units of Z3? b) What are the units of Z4? c) Find the units in Z3 × Z4. d) Look at your answers to (c) in relation to your answers for (a) and (b). Based on your answers, if R and S are any rings with identity, what are the units of R × S?
4. a) What are the units of Z3? b) What are the units of Z4? c) Find the units in Z3 × Z4. d) Look at your answers to (c) in relation to your answers for (a) and (b). Based on your answers, if R and S are any rings with identity, what are the units of R × S?
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.1: Definition Of A Ring
Problem 20E
Question
100%
![4.
a) What are the units of Z3?
b) What are the units of Z4?
c) Find the units in Z3 × Z4.
d) Look at your answers to (c) in relation to your answers for (a) and (b). Based on your
answers, if R and S are any rings with identity, what are the units of R × S?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F545e4110-447f-42e0-86d8-f710095b2322%2F5a233994-57c5-46c9-89e0-42e2490356d3%2Fvszgbek_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4.
a) What are the units of Z3?
b) What are the units of Z4?
c) Find the units in Z3 × Z4.
d) Look at your answers to (c) in relation to your answers for (a) and (b). Based on your
answers, if R and S are any rings with identity, what are the units of R × S?
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