Glossary

Return to Theorems, Homework Problems
Add words under the appropriate letter. Use the definition template when adding a new term.

A

abelian
addition modulo n
associative
automorphism

B

binary operation

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

equivalence relation

F

Factor Group
Field
function

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

kernel

L

least common multiple
length
Linear Algebra
left coset and right coset

M

maximal normal subgroup
modulo
modulus
monoid

N

nth dihedral group
normal

O

one-to-one
onto
order
orbits

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

T

Transitive
Transposition

U

Unit
unity

V

W

well-defined

X

Y

Z