Inhomogeneous Spitzer-type identities for commutative and non-commutative Rota-Baxter algebras

Pietrzkowski Gabriel

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Inhomogeneous Spitzer-type identities for commutative and non-commutative Rota-Baxter algebras

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摘要

We consider a complete filtered Rota-Baxter (RB) algebra of weight lambda over a commutative ring. Finding the unique solution of an inhomogeneous linear algebraic equation in this algebra, we generalize Spitzer's identity in both commutative and non-commutative cases. As an application, considering the RB algebra of power series in one variable with q-integral as the RB operator, we show certain Eulerian identities.

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来源
《Journal of algebra and its applications》 |2017年第1期|共17页
作者
Pietrzkowski Gabriel;
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作者单位

Univ Warsaw, Fac Math Informat & Mech, Banacha 2, PL-02097 Warsaw, Poland;

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正文语种英语
中图分类代数、数论、组合理论;
关键词
Rota-Baxter algebra; Rota-Baxter operator; Eulerian identity; Spitzer's identity;

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Inhomogeneous Spitzer-type identities for commutative and non-commutative Rota-Baxter algebras

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