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Basics of "Intro to Abstract Algebra" Flashcards | StudBud

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Basics of "Intro to Abstract Algebra"

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Sets, relations, division with remainder.

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Questions 9

Answers

1
What is the remainder when -11 is divided by 4?
3
0
1
2
2
What is a "relation" on a set A?
A map from A to A.
Shortened form of "relativity" on A.
A subset of tuples from A.
Connection between family members.
3
Which of these makes the set of triangles a partially ordered set? (t and s are triangles, R is the relation)
tRs if s is contained in t.
tRs if s intersects t nontrivially.
tRs if s is similar to t.
tRs if the largest angle of s is larger than or equal to the largest of t.
4
The sum of two odd integers...
is neither odd nor even.
is always odd.
can be even or odd.
is always even.
5
Among the following which is NOT a unary relation R on a set A?
Being prime among the positive integers.
One being larger than the other among cities.
Being positive among the real numbers.
Being infinite among sets.
6
What is the union of two sets A and B?
Those elements that are in at least one of A and B.
Those elements that are in exactly one of A and B.
The larger of them.
The set of common elements.
7
Which of these is well ordered with the usual ordering?
The positive real numbers.
The positive rational numbers.
The positive integers.
The positive irrational numbers.
8
The quotient can be equal to the remainder.
False
True
9
The set {1;1;1;1} has four elements.
True
False