modern algebra
abstract algebra
field theory
group theory
ring theory
number theory
universal algebra
moonshine
quasigroup
metamathematics
character theory
algebra
vector algebra
algebraic geometry
scheme theory
real analysis
Moufang loop
set theory
representation theory
homological algebra
algebraic combinatorics
carrier set
semigroupoid
Lie algebra
Ramsey theory
algebraic topology
commutative algebra
pure mathematics
diophantine geometry
groud
zero
multiplicative operation
gerbe
invariant theory
quadratics
algebraist
power-associative algebra
Legendre polynomial
category theory
group theorist
algebraicity
algebraic group
coalgebra
field axiom
set
combinatorial commutative algebra
algebraic structure
analysis situs
hypergroup
arithmetic geometry