Skip to main content

jxir's math pages

About
Basics
- Set Theory
General Topology
Measure and Integration
- Measure Theory
- Lebesgue Integral
Abstract Algebra
- Monoids
- Groups
Real Analysis
Complex Analysis
- One Complex Variable
Functional Analysis Basics
Fourier Analysis
Distribution Theory
More Functional Analysis
- Topological Vector Spaces
  - Polar Topologies
- Locally Convex Spaces
  - Alaoglu–Bourbaki Theorem
  - Krein–Milman Theorem
Operator Algebras
Unbounded Operators

Abstract Algebra
Monoids

Monoids

Definition (Monoid)

A monoid is a set $X$ equipped with an associative operation $X \times X \to X$ and an identity element.

Written by jxir. View Source