Sweedler duality for Hom-(co)algebras and Hom-(co)modules
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866911078751928320 |
|---|---|
| author | Sun, Jiacheng Wang, Shuanhong Zhang, Chi Zhu, Haoran |
| author_facet | Sun, Jiacheng Wang, Shuanhong Zhang, Chi Zhu, Haoran |
| contents | We establish a dual version of infinite-dimensional Hom-algebras and Hom-modules by using the Sweedler duality construction. Additionally, linear morphisms between infinite-dimensional Hom-algebras (resp. Hom-modules) and Hom-coalgebras (resp. Hom-comodules) are derived under this construction. As an application, we present a Hom-type binary linearly recursive sequence and show that the Sweedler duality construction can be utilized to determine the minimal polynomials of finite-codimensional ideals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_11838 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Sweedler duality for Hom-(co)algebras and Hom-(co)modules Sun, Jiacheng Wang, Shuanhong Zhang, Chi Zhu, Haoran Rings and Algebras 17A30, 17A60, 17D30, 05A10 We establish a dual version of infinite-dimensional Hom-algebras and Hom-modules by using the Sweedler duality construction. Additionally, linear morphisms between infinite-dimensional Hom-algebras (resp. Hom-modules) and Hom-coalgebras (resp. Hom-comodules) are derived under this construction. As an application, we present a Hom-type binary linearly recursive sequence and show that the Sweedler duality construction can be utilized to determine the minimal polynomials of finite-codimensional ideals. |
| title | Sweedler duality for Hom-(co)algebras and Hom-(co)modules |
| topic | Rings and Algebras 17A30, 17A60, 17D30, 05A10 |
| url | https://arxiv.org/abs/2405.11838 |