Matching Hom-Setting of Rota-Baxter Algebras, Dendriform Algebras, and Pre-Lie Algebras

Matching Hom-Setting of Rota-Baxter Algebras, Dendriform Algebras, and Pre-Lie Algebras

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

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Veröffentlicht in:Advances in Mathematical Physics 2020, Vol.2020 (2020), p.1-14
Hauptverfasser: Zhang, Yi, Zargeh, Chia, Peng, Xiao-Song, Chen, Dan
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Lie groups
Matching
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Zusammenfassung:In this paper, we introduce the Hom-algebra setting of the notions of matching Rota-Baxter algebras, matching (tri)dendriform algebras, and matching pre-Lie algebras. Moreover, we study the properties and relationships between categories of these matching Hom-algebraic structures.
ISSN:1687-9120
1687-9139
DOI:10.1155/2020/9792726