Let * defined on the set of integers by a*b=b. One of the following is false: * is binary operation O * is abelian operation O * is associative operation * is non-abelian operation

Let * defined on the set of integers by ab=b. One of the following is false: is binary operation O * is abelian operation O * is associative operation * is non-abelian operation

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter3: Groups

Section3.2: Properties Of Group Elements

Problem 10E: 10. Prove that in Theorem , the solutions to the equations and are actually unique. Theorem 3.5:...

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Question

Let * defined on the set of integers by a*b=b. One of the following is false:
* is binary operation
O * is abelian operation
* is associative operation
O * is non-abelian operation

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