Öz
Proje Numarası
PID2020-115155GB-I00
Kaynakça
- [1] J.N. Alonso Álvarez, J.M. Fernández Vilaboa and R. González Rodríguez, On the (co)-commutativity class of a Hopf algebra and crossed products in a braided category, Comm. Algebra 29 (12), 5857-5878, 2001
Öz
In this paper, we introduce the category of brace triples in a braided monoidal setting and prove that it is isomorphic to the category of s-Hopf braces, which are a generalization of cocommutative Hopf braces. After that, we obtain a categorical isomorphism between the category of finite cocommutative Hopf braces and a certain subcategory of the category of cocommutative post-Hopf algebras, which suppose an expansion to the braided monoidal setting of the equivalence obtained for the category of vector spaces over a field $\mathbb{K}$ by Y. Li, Y. Sheng and R. Tang.
Anahtar Kelimeler
Braided monoidal category Hopf algebra Hopf brace brace triple post-Hopf algebra
Proje Numarası
PID2020-115155GB-I00
Kaynakça
- [1] J.N. Alonso Álvarez, J.M. Fernández Vilaboa and R. González Rodríguez, On the (co)-commutativity class of a Hopf algebra and crossed products in a braided category, Comm. Algebra 29 (12), 5857-5878, 2001
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Kategori Teorisi, K Teorisi, Homolojik Cebir |
| Bölüm | Matematik |
| Yazarlar | |
| Proje Numarası | PID2020-115155GB-I00 |
| Erken Görünüm Tarihi | 11 Nisan 2025 |
| Yayımlanma Tarihi | |
| Gönderilme Tarihi | 22 Temmuz 2024 |
| Kabul Tarihi | 19 Şubat 2025 |
| Yayımlandığı Sayı | Yıl 2025 Erken Görünüm |