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Add words under the appropriate letter. Use the definition template when adding a new term.

**A**

abelian

addition modulo n

associative

automorphism

**B**

**C**

cardinality

Cartesian product

characteristic of a ring

closed under

Commutative

Conjugate Subgroup

Conjugation

coset

cycle

cyclic

**D**

Decomposable

Direct Product

Disjoint

Division Algorithm for Integers

Division Ring

Divisors of 0

**E**

**F**

**G**

generate

generator of a group

greatest common divisor

group

**H**

homomorphism

homomorphism of a ring

**I**

identity element

improper subgroup

improper subset

Inner automorphism

Indecomposable

integral domain

inverse of a function

isomorphic binary structures

index

isomorphism of ring

**J**

**K**

**L**

least common multiple

length

Linear Algebra

left coset and right coset

**M**

maximal normal subgroup

modulo

modulus

monoid

**N**

**O**

**P**

partition

permutation of a set

Power Set

proper subgroup

**Q**

**R**

Reflexive

relation

Relatively Prime

Ring

Roots of Unity

**S**

same cardinality

semigroup

simple

skew field

structural property

subgroup

Symmetric

symmetric group on n letters