Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

I've read the definition of composition algebra in wikipedia, but I couldn't understand whether it relates to the usual function composition $(\circ)$.

Are these two things related at all?

Considering functions of type $\mathbb R \to \mathbb R$ will suffice.

share|cite|improve this question
No, the two concepts are not related at all. You may have been mislead by language. In the concept composition algebra, the word 'composition' is an attribute narrowing down the class of algebras (over a field). IOW, it deals about special kind of algebras. English is not my first language, so I don't for sure, but I think that the phrase algebra of compositions would serve as an umbrella concept for the algebraic rules one may encounter when studying compositions of functions. – Jyrki Lahtonen May 2 '12 at 7:23
Based on a glance at the article, I say "no, they are not related." – anon May 2 '12 at 7:23
@Yrogirg: Perhaps you meant to ask about composition rings. – Zhen Lin May 2 '12 at 7:56
up vote 0 down vote accepted

From the comments: no, they are not related. The concept of function composition $\circ$ is embedded into composition ring, not the composition algebra. So yes, it may be quite misleading.

share|cite|improve this answer

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.