This note provides a quick overview of the relation between different concepts.

Overview

Abelian Group
Banach Algebra
C*-algebra
Commutative Ring
Division Ring
Finite variation process
Integral Domain
Near-ring
Local Martingale
Semi-martingale
Semiring
Field
Ring
Group
Rng
Domain
Monoid
Semigroup
Martingale

Glossary

Banach Algebra, C*-algebra, Integral Domain, Domain, local martingale, finite variation process, Abelian Group, Division Ring, Commutative Ring, Ring, Near-ring, Rng, Semiring, Monoid, Semigroup Field, Martingale, Semimartingale, Group, Semigroup