Mathematics – Rings and Algebras
Scientific paper
2009-06-25
Mathematics
Rings and Algebras
20 p
Scientific paper
We study the operad of associative algebras equipped with a derivation. We show that it is determined by polynomials in several variables and substitution. Replacing polynomials by rational functions gives an operad which is isomorphic to the operad of "moulds". It provides an efficient environment for doing integro-differential calculus. Interesting variations are obtained by using formal group laws. The preceding case corresponds to the additive formal group law. We unravel the notion of homotopy associative algebra with derivation in the spirit of Kadeishvili's work.
No associations
LandOfFree
On the operad of associative algebras with derivation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with On the operad of associative algebras with derivation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the operad of associative algebras with derivation will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-537681