Matching Hom-Setting of Rota-Baxter algebras, dendriform algebras and pre-Lie algebras

• DOI: 10.48550/arxiv.2002.04796
• Publication Date: 2020-01-01
• Authors: Dan Chen; Xiao-Song Peng; Chia Zargeh; Yi Zhang
• Keywords: 2. Zero hunger; Rings and Algebras (math.RA); Physics; QC1-999; FOS: Mathematics; Mathematics - Rings and Algebras; 16W99, 17B38, 17B61

In this paper, we introduce the Hom-algebra setting of notions matching Rota-Baxter algebras, (tri)dendriform algebras and (pre)Lie algebras. Moreover, study properties relationships between categories these Hom-algebraic structures.