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.
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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