  MATH 6340 Quiz

Quiz by Camryn Grey

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10 questions
• 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

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