The sets R, Q, Z, 2Z with the usual addition have identity element which is 0. What is the inverse element of these sets for any element (a)?

Midterm Exam

Quiz
•
Mathematics
•
University
•
Hard

hanni zhou
FREE Resource
20 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
0
1
a
-a
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which of the following is set Q ?
3.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
How many subsets will this set have? A= {a, b, c} ?
8
6
3
0
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
1
3
4
5
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When can you say that two groups are isomorphic?
Groups are isomorphic when they are homomorphic and bijective.
Groups are isomorphic when they are automorphic and bijective.
Groups are isomorphic when they are automorphic and surjective.
Groups are isomorphic when they are homomorphic and bijective.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In using the Cayley Table, what is the identity element if you are working with group operation addition for a group of integers?
0
1
i
-1
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the elements of the group Z/3Z?
1, 2, 3
0, 1, 2
0, 1, -1
1, i, -1
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