Is it true for abstract algebra that if a*b=a*c then b=c

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.1: The Geometry And Algebra Of Vectors
Problem 29EQ: Write out the addition and multiplication tables for 4.
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Is it true for abstract algebra that if a*b=a*c then b=c

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