Matching Hom-Setting of Rota-Baxter Algebras, Dendriform Algebras, and Pre-Lie Algebras-Reference-Cited by-同舟云学术

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

Published:2020-07-10 Issue: Volume:2020 Page:1-14
ISSN:1687-9120
Container-title:Advances in Mathematical Physics
language:en
Short-container-title:Advances in Mathematical Physics

Author:

Chen Dan¹,Peng Xiao-Song¹,Zargeh Chia²,Zhang Yi¹³^ORCID

Affiliation:

1. School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, China

2. Instituto de Matemática e Estatística, Universidade de São Paulo, São Paulo, SP, Brazil

3. School of Mathematics and Statistics, NUIST, Nanjing, Jiangsu 210044, China

Abstract

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.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Physics and Astronomy

Link

http://downloads.hindawi.com/journals/amp/2020/9792726.pdf

Reference47 articles.

1. Deformations of Lie algebras using σ-derivations

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