2020/07/18 by Ibrahima Bakayoko, Bakayoko, Ibrahima
Decision Sciences · Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Fuzzy and Soft Set Theory #Rings and Algebras (math.RA)
paper · pdf · doi:10.48550/arxiv.2007.10801
openalex publication_date 2020/07/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The goal of this paper is to introduce BiHom-Poisson color algebras and give various constructions by using some specific maps such as morphisms. We introduce averaging operator and element of centroid for BiHom-Poisson color algebras and point out that BiHom-Poisson color algebras are closed under averaging operators and elements of centroid. We also show that any regular BiHom-associative color algebra leads to BiHom-Poisson color algebra via the commutator bracket. Then we prove that any BiHom-Poisson color algebra together with Rota-Baxter operator or multiplier give rises to another BiHom-Poisson color algebra. Next, we show that tensor product of any BiHom-associative color algebra and any BiHom-Poisson color algebra is also a BiHom- Poisson color algebra