It is known that an algebraic structure, (R, *), is associative, commutative and have identity element. Tick all true statements about (R, *). * O (R, *) is a semigroup. O (R, *) is a monoid. O (R, *) is an Abelian group. O (R, *) is a finite group. None of the given.
It is known that an algebraic structure, (R, *), is associative, commutative and have identity element. Tick all true statements about (R, *). * O (R, *) is a semigroup. O (R, *) is a monoid. O (R, *) is an Abelian group. O (R, *) is a finite group. None of the given.
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 4E: An element x in a multiplicative group G is called idempotent if x2=x. Prove that the identity...
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![It is known that an algebraic structure, (R, *), is associative, commutative and
have identity element. Tick all true statements about (R, *). *
(R, *) is a semigroup.
(R, *) is a monoid.
(R, *) is an Abelian group.
(R, *) is a finite group.
None of the given.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc8f08046-5f78-4c98-9585-369ce9a9938e%2F355c1aed-8fd9-4793-bf86-048ed805ad91%2Fjxa8gni_processed.png&w=3840&q=75)
Transcribed Image Text:It is known that an algebraic structure, (R, *), is associative, commutative and
have identity element. Tick all true statements about (R, *). *
(R, *) is a semigroup.
(R, *) is a monoid.
(R, *) is an Abelian group.
(R, *) is a finite group.
None of the given.
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