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 youranswers, if R and S are any rings with identity, what are the units of R × S?

Step 1: Step 2: Step 3: Step 4:

Answered: 4. a) What are the units of Z3? b) What…

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

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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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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?