MATH 6340 Quiz | Quizalize

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MATH 6340 Quiz

Quiz by Camryn Grey

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Q 1/10
Score 0
Let R be a commutative ring with identity, and P a proper ideal of R. If P is a prime ideal, then
29

R/P is a vector space
R/P is a field
R/P is an Euclidean domain
R/P is an integral domain

10 questions

Show answers

Q1
Let R be a commutative ring with identity, and P a proper ideal of R. If P is a prime ideal, then
R/P is a vector space
R/P is a field
R/P is an Euclidean domain
R/P is an integral domain
30s
Q2
Let R be a commutative ring with identity, and M an ideal of R. If M is a maximal ideal, then
R/M is an integral domain
R/M is an Euclidean domain
R/M is a field
R/M is a vector space
30s
Q3
In a unique factorization domain, every irreducible element is
reducible
invertible
positive
prime
30s
Q4
A subset S of V is a basis for the vector space V if
S is a system of generators and a vector space
S is a system of generators and linearly dependent
S is a system of generators and linearly independent
S is a system of generators and linear
30s
Q5
Which polynomial is irreducible over F₂?
30s
Q6
Which polynomial is reducible over F₂?
30s
Q7
Which field extension has degree 2
30s
Q8
Which field extension has degree 3
30s
Q9
Which field extension has degree 4
30s
Q10
Which field extension has degree 6
30s