Monomial Rota-Baxter operators on free commutative non-unital algebra

DOI10.33048/semi.2020.17.079zbMath1480.17020arXiv1911.12000OpenAlexW3117287914MaRDI QIDQ2200985

Yanyan Li

Publication date: 24 September 2020

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.12000

zbMATH Keywords

polynomial algebraRota-Baxter operator

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Yang-Baxter equations and Rota-Baxter operators (17B38)

Related Items (6)

Modules of non-unital polynomial Rota-Baxter algebras ⋮ Monomial Rota-Baxter operators of nonzero weight on \(F[x, y\) coming from averaging operators] ⋮ Rota-Baxter operators and Bernoulli polynomials ⋮ Injective Rota-Baxter operators of weight zero on \(F[x\)] ⋮ Integration and geometrization of Rota-Baxter Lie algebras ⋮ An example of a simple double Lie algebra

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• Rota–Baxter operators on skew generalized power series rings
• Rota–Baxter operators on a sum of fields
• ROTA–BAXTER OPERATORS ON GENERALIZED POWER SERIES RINGS
• Pre-Poisson algebras

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