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

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.

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Veröffentlicht in:	Open mathematics (Warsaw, Poland) Poland), 2020-11, Vol.18 (1), p.1173-1184
Hauptverfasser:	Wang, Jinwei, Zhang, Yuanyuan, Zhu, Zhicheng, Chen, Dan
Format:	Artikel
Sprache:	eng
Schlagworte:	08B20 16S10 16T30 16W99 81R15 Algebra leaf-spaced parallelly typed leaf-spaced decorated Rota-Baxter algebras Rota-Baxter family algebras typed decorated rooted forests
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Beschreibung
Zusammenfassung:	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.
ISSN:	2391-5455 2391-5455
DOI:	10.1515/math-2020-0059