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.
Rota–baxter operators on bihom-associative algebras and related structures
Menini C.;
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.File in questo prodotto:
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