On derivation deviations in an abstract pre-operad

Abstract

We consider basic algebraic constructions associated with an abstract pre-operad, such as a $⌣$-algebra, total composition $\bul$, pre-coboundary operator $\de$ and tribraces $\{\cdot ,\cdot ,\cdot \}$. A derivation deviation of the pre-coboundary operator over the tribraces is calculated in terms of the $⌣$-multiplication and total composition.

14 pages, AmSLaTeX, no figures