Principal Ideals - Abstract Algebra
Card 0 of 12
Which of the following is an ideal of a ring?
Which of the following is an ideal of a ring?
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.
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.
Compare your answer with the correct one above
Which of the following is an ideal of a ring?
Which of the following is an ideal of a ring?
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.
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.
Compare your answer with the correct one above
Which of the following is an ideal of a ring?
Which of the following is an ideal of a ring?
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.
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.
Compare your answer with the correct one above
Which of the following is an ideal of a ring?
Which of the following is an ideal of a ring?
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.
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.
Compare your answer with the correct one above
Which of the following is an ideal of a ring?
Which of the following is an ideal of a ring?
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.
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.
Compare your answer with the correct one above
Which of the following is an ideal of a ring?
Which of the following is an ideal of a ring?
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.
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.
Compare your answer with the correct one above
Which of the following is an ideal of a ring?
Which of the following is an ideal of a ring?
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.
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.
Compare your answer with the correct one above
Which of the following is an ideal of a ring?
Which of the following is an ideal of a ring?
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.
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.
Compare your answer with the correct one above
Which of the following is an ideal of a ring?
Which of the following is an ideal of a ring?
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.
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.
Compare your answer with the correct one above
Which of the following is an ideal of a ring?
Which of the following is an ideal of a ring?
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.
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.
Compare your answer with the correct one above
Which of the following is an ideal of a ring?
Which of the following is an ideal of a ring?
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.
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.
Compare your answer with the correct one above
Which of the following is an ideal of a ring?
Which of the following is an ideal of a ring?
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.
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.
Compare your answer with the correct one above