Add a new page:
Sidebar
advanced_tools:category_theory:monoids
This is an old revision of the document!
Monoids
Why is it interesting?
Monoids abound in mathematics; they are in a sense the most primitive interesting algebraic structures.http://math.ucr.edu/home/baez/week74.html
Layman
Explanations in this section should contain no formulas, but instead colloquial things like you would hear them during a coffee break or at a cocktail party.
Student
what is a category with one object? It is a "monoid". The usual definition of a monoid is this: a set M with an associative binary product and a unit element 1 such that a1 = 1a = a for all a in S. http://math.ucr.edu/home/baez/week74.html
Researcher
The motto in this section is: the higher the level of abstraction, the better.
Examples
- Example1
- Example2:
FAQ
History
advanced_tools/category_theory/monoids.1510302290.txt.gz · Last modified: 2017/12/04 08:01 (external edit)
Except where otherwise noted, content on this wiki is licensed under the following license: CC Attribution-Share Alike 4.0 International
