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Quiz 4-6_Abstract

Authored by Dina Magnaye

Mathematics

University

Used 2+ times

Quiz 4-6_Abstract
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45 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the unique element in a group that leaves other elements unchanged when combined with them?

Inverse element

Commutative element

Associative element

Identity element

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a group, for any elements (a, b, c) in (G), which property holds: (ab)c = a(bc)?

Commutativity

Associativity

Distributivity

Inverseness

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a group, if the operation is commutative, which property holds true?

(ab)c = a(bc)

a(bc) = (ab)

None of the above

ab = ba

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which condition is NOT necessary for a set to be considered a group?

Closure under the operation

Existence of an identity element

Existence of an inverse element for each element

Commutativity of the operation

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a group, if every element has an inverse, the group is said to be:

Commutative

Associative

Abelian

Inversely closed

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which statement is true about the identity element in a group?

It is unique

It is the same as the inverse element

It is not necessary for the group to have an identity element

It only exists in non-abelian groups

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which property states that for any element (a) in a group (G), there exists an element (b) in (G) such that ab = ba = e, where (e) is the identity element?

Closure

Associativity

Inverse property

Commutativity

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