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Abstract
We consider basic algebraic constructions associated with an abstract pre-operad, such as a ⌣-algebra, total composition •, pre-coboundary operator δ and tribrac {h, f, g}. A derivation deviation of the pre-coboundary operator over the tribraces is calculated in terms of the ⌣-multiplication and total composition.
ACKNOWLEDGMENTS
One of the authors (E. Paal) would like to thank Jim Stasheff for reading of the preliminary manuscript and useful discussions and suggestions. We thank the referee for helpful remarks and suggestions. Research supported in part by the ESF grant 3654.