family algebras
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scholarly journals Free nonunitary Rota-Baxter family algebras and typed leaf-spaced decorated planar rooted forests

2020 ◽  
Vol 18 (1) ◽  
pp. 1173-1184
Author(s):  
Jinwei Wang ◽  
Yuanyuan Zhang ◽  
Zhicheng Zhu ◽  
Dan Chen
Keyword(s):  
Family Algebras

Abstract In this paper, we decorate leaves and edges of planar rooted forests simultaneously and use a part of them to construct free nonunitary Rota-Baxter family algebras. As a corollary, we obtain the construction of free nonunitary Rota-Baxter algebras.

scholarly journals Free (tri)dendriform family algebras

2020 ◽  
Vol 547 ◽  
pp. 456-493 ◽  
Author(s):  
Yuanyuan Zhang ◽  
Xing Gao ◽  
Dominique Manchon
Keyword(s):  
Family Algebras

Free Rota–Baxter family algebras and (tri)dendriform family algebras

2019 ◽  
Vol 301 (2) ◽  
pp. 741-766 ◽  
Author(s):  
Yuanyuan Zhang ◽  
Xing Gao
Keyword(s):  
Family Algebras

Odd family algebras

2006 ◽  
pp. 303-318
Author(s):  
A. A. Kirillov ◽  
L. G. Rybnikov
Keyword(s):  
Family Algebras

Introduction to Family Algebras

2001 ◽  
Vol 1 (1) ◽  
pp. 49-63 ◽  
Author(s):  
A. Kirillov
Keyword(s):  
Family Algebras
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