Abstract Algebra

Which among the following words specifically means "equal"?

• homomorphism

• isomorphism

• iso

• morphe

Tags

CCSS.L.4.4B

CCSS.L.5.4B

CCSS.L.6.4B

CCSS.L.7.4B

CCSS.L.8.4B

Which of the following shows an onto function?

• 
• 

When a function is one to one and onto, the function is said to be

• bijective

• surjective

• injective

• subjective

Tags

CCSS.HSF-BF.B.4D

When can you say that two groups are isomorphic?

• Groups are isomorphic when they are homomorphic and bijective.

• Groups are isomorphic when they are automorphic and bijective.

• Groups are isomorphic when they are automorphic and surjective.

• Groups are isomorphic when they are homomorphic and bijective.

The composition of two homomorphisms is an automorphism. The truth value of this statement is

• TRUE

• FALSE

Quotient groups are also called

• Factor Groups

• Factor Subgroup

• Quotient Subgroup

• Division Group

In what year did Gauss write the book Disquisitiones Arithmeticae?

• 1598

• 1698

• 1798

• 1898

Tags

CCSS.8.EE.C.7B

What do you call the group when its cosets form a group?

• Coset Group

• Normal Subgroup

• Subgroup

• Quotient Group

The group of cosets that form the normal subgroups is called

• Quotient Group

• Subgroup

• Quotient Subgroup

• Normal Group

Which of the following is the notation of Factor Group?

• G/N

• N

• 5Z

• 1 + 5Z