I) We know that -5,-4,-3,-2,-1? and IN are well-ordered sets with respect to the trivial ordering. Let X=2-5,-4 -3,-2,-15U N. Prove that the poset X is a well - set with respect to the trivical ordering. ordered

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 3E: a. Let R be the equivalence relation defined on Z in Example 2, and write out the elements of the...
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I) We know that 5,-4-3,-2,-1? and IN are well-ordered
sets with respect to the trivial ordering. Let X=-
-3,-2,-1) U N. Prove that the poset X is a well-
set with respect to the trivial ordering.
ordered
Transcribed Image Text:I) We know that 5,-4-3,-2,-1? and IN are well-ordered sets with respect to the trivial ordering. Let X=- -3,-2,-1) U N. Prove that the poset X is a well- set with respect to the trivial ordering. ordered
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