Commutators on binary operators

As an example of a commutator on binary operators, we have addition and multiplication.

[*,+] (m,n) = m*n – (m+n)

Is commutator the right word for this?

Exercise: If we permute the data and subtract do we get 0?

Project: What if m and n were matrices? Define a commutator where we permute the data m and n.


About New Math Done Right

Author of Pre-Algebra New Math Done Right Peano Axioms. A below college level self study book on the Peano Axioms and proofs of the associative and commutative laws of addition. President of Mathematical Finance Company. Provides economic scenario generators to financial institutions.
This entry was posted in Uncategorized. Bookmark the permalink.

Leave a Reply

Fill in your details below or click an icon to log in: Logo

You are commenting using your account. Log Out /  Change )

Google+ photo

You are commenting using your Google+ account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )


Connecting to %s