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
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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?
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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