Extending Structures for Rota-Baxter family Hom-associative Algebras

Autor:	Wang, Junwen, Zhang, Yuanyuan, Chu, Yanjun
Rok vydání:	2024
Předmět:	Mathematics - Rings and Algebras Mathematics - Representation Theory 16W99
Druh dokumentu:	Working Paper
Popis:	In this paper, we first define extending datums and unified products of Rota-Baxter family Hom-associative algebras, and theoretically solve the extending structure problem. Moreover, we consider flag datums as an application, and give an example of the extending structure problem. Second, we introduce matched pairs of Rota-Baxter family Hom-associative algebras, and theoretically solve the factorization problem. Finally, we define deformation maps on a Rota-Baxter family Hom extending structure, and theoretically solve the classifying complements problem. Comment: 24pages, comments are welcome! arXiv admin note: substantial text overlap with arXiv:2406.10992
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2412.08474 Zobrazit plný text záznamu View this record from Arxiv