Rota-Baxter Hom-Lie-admissible algebras

2011/08/11 by Abdenacer Makhlouf, Makhlouf, Abdenacer, Donald Yau +1
Mathematics · #16W20 #17D25 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.1108.2415

openalex publication_date 2011/08/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study Hom-type analogs of Rota-Baxter and dendriform algebras, called Rota-Baxter G-Hom-associative algebras and Hom-dendriform algebras. Several construction results are proved. Free algebras for these objects are explicitly constructed. Various functors between these categories, as well as an adjunction between the categories of Rota-Baxter Hom-associative algebras and of Hom-(tri)dendriform algebras, are constructed.

Citations

• Deformations of Hom-Alternative and Hom-Malcev algebras

Related

• Hom-dendriform algebras and Rota-Baxter Hom-algebras
• Matching Hom-Setting of Rota-Baxter algebras, dendriform algebras and pre-Lie algebras
• Related Hom-rhizaform algebras and Rota-Baxter Operators, Hom-Rhizaform Family Algebras
• Extending Structures for Rota-Baxter family Hom-associative Algebras
• Rota-Baxter systems on Hom-associative algebras and covariant Hom-bialgebras