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

Quiz
•
Mathematics
•
University
•
Hard
Barbara White
FREE Resource
25 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
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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