Abstract Algebra

Abstract Algebra

University

25 Qs

quiz-placeholder

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Abstract Algebra

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Abstract Algebra

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20 Qs

Abstract Algebra

Abstract Algebra

Assessment

Quiz

Mathematics

University

Hard

Created by

Barbara White

FREE Resource

25 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

True or false: If * is a binary operation on a set G, then a*a=a for all a in G

True

False

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

True or false: Any associative operation is commutative

True

False

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

True or False: Every binary operation on a single element set is both commutative and associative

True

False

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

True or false: Every subgroup of an abelian group is abelian

True

False

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Every subgroup of a non-abelian group is non abelian

True

False

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a group under addition?

The set of all positive integers

The set of all odd integers

The set of all negative integers

The set of all even integers

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a group under multiplication?

The set of integers

The set of all rational numbers

The set of all real numbers

The set of all nonzero rational numbers

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