Article
| Title: | Classification of ideals of $8$-dimensional Radford Hopf algebra (English) |
| Author: | Wang, Yu |
| Language: | English |
| Journal: | Czechoslovak Mathematical Journal |
| ISSN: | 0011-4642 (print) |
| ISSN: | 1572-9141 (online) |
| Volume: | 72 |
| Issue: | 4 |
| Year: | 2022 |
| Pages: | 1019-1028 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | Let $H_{m,n}$ be the $mn^2$-dimensional Radford Hopf algebra over an algebraically closed field of characteristic zero. We give the classification of all ideals of $8$-dimensional Radford Hopf algebra $H_{2,2}$ by generators. (English) |
| Keyword: | ideal |
| Keyword: | Radford Hopf algebra |
| Keyword: | principal ideal ring |
| MSC: | 16D25 |
| MSC: | 20G42 |
| idZBL: | Zbl 07655778 |
| idMR: | MR4517591 |
| DOI: | 10.21136/CMJ.2022.0313-21 |
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| Date available: | 2022-11-28T11:34:46Z |
| Last updated: | 2023-04-11 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/151125 |
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| Reference: | [5] Radford, D. E.: On the coradical of a finite-dimensional Hopf algebra.Proc. Am. Math. Soc. 53 (1975), 9-15. Zbl 0324.16009, MR 396652, 10.1090/S0002-9939-1975-0396652-0 |
| Reference: | [6] Wang, Z., Li, L., Zhang, Y.: Green rings of pointed rank one Hopf algebras of nilpotent type.Algebr. Represent. Theory 17 (2014), 1901-1924. Zbl 1318.16032, MR 3284336, 10.1007/s10468-014-9484-9 |
| Reference: | [7] Wang, Z., Li, L., Zhang, Y.: Green rings of pointed rank one Hopf algebras of non-nilpotent type.J. Algebra 449 (2016), 108-137. Zbl 1338.16039, MR 3448167, 10.1016/j.jalgebra.2015.11.002 |
| Reference: | [8] Wang, Y., Zheng, Y., Li, L.: On the ideals of the Radford Hopf algebras.Commun. Algebra 49 (2021), 4109-4122. Zbl 07431245, MR 4296825, 10.1080/00927872.2021.1914073 |
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