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. =
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. =
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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![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.
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0de9773e-39c1-4df6-a7d6-864501c7f552%2F26f444c1-2cdd-4d89-bfe5-387bfbda9530%2Fxgf3nis_processed.png&w=3840&q=75)
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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