Extending Structures for Rota-Baxter family Hom-associative Algebras
Rings and Algebras
2024-12-12 v1 Representation Theory
Abstract
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.
Cite
@article{arxiv.2412.08474,
title = {Extending Structures for Rota-Baxter family Hom-associative Algebras},
author = {Junwen Wang and Yuanyuan Zhang and Yanjun Chu},
journal= {arXiv preprint arXiv:2412.08474},
year = {2024}
}
Comments
24pages, comments are welcome! arXiv admin note: substantial text overlap with arXiv:2406.10992