Weighted differential ($q$-tri)dendriform algebras

Autor:	Zhang, Yuanyuan, Zhang, Huhu, Wu, Tingzeng, Gao, Xing
Rok vydání:	2024
Předmět:	Mathematics - Rings and Algebras 16W99 16S10 13P10 08B20
Druh dokumentu:	Working Paper
Popis:	In this paper, we first introduce a weighted derivation on algebras over an operad $\cal P$, and prove that for the free $\cal P$-algebra, its weighted derivation is determined by the restriction on the generators. As applications, we propose the concept of weighted differential ($q$-tri)dendriform algebras and study some basic properties of them. Then Novikov-(tri)dendriform algebras are initiated, which can be induced from differential ($q$-tri) dendriform of weight zero. Finally, the corresponding free objects are constructed, in both the commutative and noncommutative contexts. Comment: 26 pages. arXiv admin note: substantial text overlap with arXiv:2305.19609
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2406.12871 Zobrazit plný text záznamu View this record from Arxiv