Denote by Zm = {[0]m, [1]m, ..., [m1]m} the ring of integers modulo m. Consider the rings R = Z24 and SZ4 × Z6. Let 0 RS be the map defined by ([x]24) = ([x]4, [4x]6). (c) Is an isomorphism of rings? Explain. =

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Chapter2: Second-order Linear Odes
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Denote by Zm = {[0]m, [1]m, ..., [m1]m} the ring of integers modulo m.
Consider the rings R = Z24 and SZ4 × Z6. Let 0 RS be the map
defined by ([x]24) = ([x]4, [4x]6).
(c) Is an isomorphism of rings? Explain.
=
Transcribed Image Text:Denote by Zm = {[0]m, [1]m, ..., [m1]m} the ring of integers modulo m. Consider the rings R = Z24 and SZ4 × Z6. Let 0 RS be the map defined by ([x]24) = ([x]4, [4x]6). (c) Is an isomorphism of rings? Explain. =
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