A bounded function f: A R is integrable if and only if for every e > 0 there is a partition P of A such that U(f,P) – L(f,P) < e.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.2: Integral Domains And Fields
Problem 17E: If e is the unity in an integral domain D, prove that (e)a=a for all aD. [Type here][Type here]
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A bounded function f: A R is integrable
if and only if for every e > 0 there is a partition P of A such
that U(f,P) – L(f,P) < e.
Transcribed Image Text:A bounded function f: A R is integrable if and only if for every e > 0 there is a partition P of A such that U(f,P) – L(f,P) < e.
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