Considet the quadratic integer ring Z[sqrt{D}] where D is a square free integer (a) Show 3 is reducible in D = -2 yet irreducible in D = -5 and (b) is 3 prime when D is -2 and -5? Justify! please do not provide solution in image format thank you!
Considet the quadratic integer ring Z[sqrt{D}] where D is a square free integer (a) Show 3 is reducible in D = -2 yet irreducible in D = -5 and (b) is 3 prime when D is -2 and -5? Justify! please do not provide solution in image format thank you!
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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Considet the quadratic integer ring Z[sqrt{D}] where D is a square free integer (a) Show 3 is reducible in D = -2 yet irreducible in D = -5 and (b) is 3 prime when D is -2 and -5? Justify!
please do not provide solution in image format thank you!
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