Rota–Baxter operators on BiHom-associative algebras and related structures
Volume 161 / 2020
Colloquium Mathematicum 161 (2020), 263-294
MSC: Primary 17D30; Secondary 15A04.
DOI: 10.4064/cm7877-5-2019
Published online: 31 March 2020
Abstract
The purpose of this paper is to study Rota–Baxter operators for BiHom-associative algebras. Moreover, we introduce and discuss the properties of the notions of BiHom-(tri)dendriform algebra, BiHom-Zinbiel algebra and BiHom-quadri-algebra. We construct the free Rota–Baxter BiHom-associative algebra and present some observations about categories and functors related to Rota–Baxter structures.
