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?
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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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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