All Abstract Algebra Resources
Example Questions
Example Question #1 : Rings
Which of the following is an ideal of a ring?
Associative Ideal
Minimum Ideal
All are ideals of rings.
Prime Ideal
Multiplicative Ideal
Prime Ideal
When dealing with rings there are three main ideals
Proper Ideal: When is a commutative ring, and
is a non empty subset of
then,
is said to have a proper ideal if both the following are true.
and
Prime Ideal: When is a commutative ring,
is a prime ideal if
is true and
Maximal Ideal: When is a commutative ring, and
is a non empty subset of
then,
has a maximal ideal if all ideal
are
Looking at the possible answer selections, Prime Ideal is the correct answer choice.
Example Question #2 : Abstract Algebra
Which of the following is an ideal of a ring?
Communicative Ideal
Associative Ideal
Maximal Ideal
Minimal Ideal
None are ideals
Maximal Ideal
When dealing with rings there are three main ideals
Proper Ideal: When is a commutative ring, and
is a non empty subset of
then,
is said to have a proper ideal if both the following are true.
and
Prime Ideal: When is a commutative ring,
is a prime ideal if
is true and
Maximal Ideal: When is a commutative ring, and
is a non empty subset of
then,
has a maximal ideal if all ideal
are
Looking at the possible answer selections, Maximal Ideal is the correct answer choice.
Example Question #2 : Rings
Which of the following is an ideal of a ring?
Proper Ideal
All are ideals
Communicative Ideal
Minimal Ideal
Associative Ideal
Proper Ideal
When dealing with rings there are three main ideals
Proper Ideal: When is a commutative ring, and
is a non empty subset of
then,
is said to have a proper ideal if both the following are true.
and
Prime Ideal: When is a commutative ring,
is a prime ideal if
is true and
Maximal Ideal: When is a commutative ring, and
is a non empty subset of
then,
has a maximal ideal if all ideal
are
Looking at the possible answer selections, Prime Ideal is the correct answer choice.
All Abstract Algebra Resources
