Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

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|improve this question
add comment

Your Answer

 
discard

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

Browse other questions tagged or ask your own question.