Relative Rota-Baxter operators, modules and projections

Autor:	Vilaboa, José Manuel Fernández, Rodríguez, Ramón González, Pérez, Brais Ramos
Rok vydání:	2024
Předmět:	Mathematics - Rings and Algebras
Druh dokumentu:	Working Paper
Popis:	The present article is devoted to introduce, in a braided monoidal setting, the notion of module over a relative Rota-Baxter operator. It is proved that there exists an adjunction between the category of modules associated to an invertible relative Rota-Baxter operator and the category of modules associated to a Hopf brace, which induces an equivalence by assuming certain additional hypothesis. Moreover, the notion of projection between relative Rota-Baxter operators is defined, and it is proved that those which are called ``strong'' give rise to a module according to the previous definition in the cocommutative setting. Comment: arXiv admin note: text overlap with arXiv:2404.12231
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2406.12782 Zobrazit plný text záznamu View this record from Arxiv