The study of Rota-Baxter algebras has attracted quite much attentions in recent years for their broad applications in mathematics and physics. Free Rota-Baxter algebras have been constructed by bracketed words, rooted trees and Motzkin paths.We focus on the construction by bracketed words for the convenience of computations. Factorization in algebra is an important problem. In this paper, we obtain a unique factorization of the basis elements in the free Rota-Baxter algebras of bracketed words.
|Original language||English (US)|
|Number of pages||10|
|Journal||Acta Mathematica Sinica, Chinese Series|
|State||Published - Sep 1 2017|
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