Tetracomposition

Abstract

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

18 pages, AmSLaTeX, no figures