On derivation deviations in an abstract pre-operad

Details On derivation deviations in an abstract pre-operad On derivation deviations in an abstract pre-operad

2001-05-28

arxiv.org/abs/math/0105229v1

Comm. Algebra. Vol. 29 (2001), 1609-1626

Mathematics

Quantum Algebra

14 pages, AmSLaTeX, no figures

Scientific paper

We consider basic algebraic constructions associated with an abstract
pre-operad, such as a $\smile$-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 $\smile$-multiplication and total composition.

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