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

In the analysis of certain Natural Language Processing queries, there is a certain algebra that arises with a ternary operator over a group with the following two properties:

$$ ( ( a , b , c ) , d , e ) = ( a , (d , b , c) , (e , b , c ) )$$

$$ x( a , b , c ) = (a x^{-1} , b x^{-1} , c x^{-1} ) $$

and in general the ternary operator might not be symmetric under even permutations. (In fact I think it can be understood as a non-associative binary product but I don't have anything to back up that assertion other than a vague suspicion.)

Is there a name for these algebraic entities? Is there a reference I can read more about these?

share|cite|improve this question

Your Answer


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

Browse other questions tagged or ask your own question.