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Given the integral domain ≺D,+,⋅≻ and k,l,m∈D, with m≠0. Then mk=ml⟹k=l.   True False

Given the integral domain ≺D,+,⋅≻ and k,l,m∈D, with m≠0. Then mk=ml⟹k=l.   True False

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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Given the integral domain ≺D,+,⋅≻ and k,l,m∈D, with m≠0. Then

mk=ml⟹k=l.
 
True
False

 

Expert Solution
Step 1: We give definition of integral domain.

(.)  In an integral domain less than D comma plus comma times greater than product of two non - zero elements is non - zero.

i.e.  if x comma y element of D such that x y equals 0 rightwards double arrow space e i t h e r space x equals 0 space o r space y equals 0

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