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If D is an integral domain and if na = 0 for some a is non zero in D and some non zero integer n, prove that D is of finite characteristics and What is the relation between the characteristic of D and the number n?

If D is an integral domain and if na = 0 for some a is non zero in D and some non zero integer n, prove that D is of finite characteristics and What is the relation between the characteristic of D and the number n?

Advanced Engineering Mathematics
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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If D is an integral domain and if na = 0 for some a is non zero in D and some non zero integer n, prove that D is of finite characteristics and What is the relation between the characteristic of D and the number n?
Transcribed Image Text:If D is an integral domain and if na = 0 for some a is non zero in D and some non zero integer n, prove that D is of finite characteristics and What is the relation between the characteristic of D and the number n?
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