Rota-Baxter algebras and new combinatorial identities

Mathematics – Combinatorics

Scientific paper

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8 pages, improved version

Scientific paper

10.1007/s11005-007-0168-9

The word problem for an arbitrary associative Rota-Baxter algebra is solved.
This leads to a noncommutative generalization of the classical Spitzer
identities. Links to other combinatorial aspects, particularly of interest in
physics, are indicated.

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