Concept relations

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

Overview

stateDiagram
	AG: Abelian Group
	BA: Banach Algebra
	CSA: C*-algebra
	CR: Commutative Ring
	DR: Division Ring
	FVP: Finite variation process
	ID: Integral Domain
	NR: Near-ring
	LA: Local Martingale
	SM: Semi-martingale
	SR: Semiring

	Field --> CR
	Field --> DR
	Field --> ID

	CR --> Ring
	DR --> Ring
	
	Ring --> Group
	Ring --> NR
	Ring --> Rng
	Ring --> SR

	Domain --> Ring
	ID --> Domain
	
	AG --> Group

	Group --> Monoid
	Monoid --> Semigroup
	
	CSA --> BA
	
	Martingale --> SM
	Martingale --> LA
	FVP --> SM

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