Show that – a is not the inverse of a ∈ N for the addition operation + onN and 1/a is not the inverse of a ∈ N for multiplication operation × on N, for a ≠ 1.
Show that – a is not the inverse of a ∈ N for the addition operation + onN and 1/a is not the inverse of a ∈ N for multiplication operation × on N, for a ≠ 1.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.4: Binary Operations
Problem 11E
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Show that – a is not the inverse of a ∈ N for the addition operation + on
N and 1/a is not the inverse of a ∈ N for multiplication operation × on N, for a ≠ 1.
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