Inhomogeneous linear equation in Rota-Baxter algebra
Rings and Algebras
2014-05-12 v1
Abstract
We consider a complete filtered Rota-Baxter algebra of weight over a commutative ring. Finding the unique solution of a non-homogeneous linear algebraic equation in this algebra, we generalize Spitzer's identity in both commutative and non-commutative cases. As an application, considering the Rota-Baxter algebra of power series in one variable with q-integral as the Rota-Baxter operator, we show certain Eulerian identities.
Cite
@article{arxiv.1405.2257,
title = {Inhomogeneous linear equation in Rota-Baxter algebra},
author = {Gabriel Pietrzkowski},
journal= {arXiv preprint arXiv:1405.2257},
year = {2014}
}
Comments
14 pages