Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2505.09268 |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866909610416275456 |
|---|---|
| author | Wang, Chengjie |
| author_facet | Wang, Chengjie |
| contents | A maximal commutative subalgebra is a substructure in algebra with the greatest commutative property. By studying the lengths of maximal commutative subalgebras, one can more clearly characterize the structure of commutative subalgebras in the full matrix algebra $\mathrm{M}_n({\mathbb{F}})$. Inspired by \cite[Proposition~4.12]{markova2013}, this paper identifies a class of maximal commutative subalgebras $\mathcal{B}_{k,m,l}$ and computes their lengths. Finally, we present two concrete examples to show that it is not a straightforward generalization. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_09268 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the length of a class of maximal commutative subalgebras Wang, Chengjie Rings and Algebras A maximal commutative subalgebra is a substructure in algebra with the greatest commutative property. By studying the lengths of maximal commutative subalgebras, one can more clearly characterize the structure of commutative subalgebras in the full matrix algebra $\mathrm{M}_n({\mathbb{F}})$. Inspired by \cite[Proposition~4.12]{markova2013}, this paper identifies a class of maximal commutative subalgebras $\mathcal{B}_{k,m,l}$ and computes their lengths. Finally, we present two concrete examples to show that it is not a straightforward generalization. |
| title | On the length of a class of maximal commutative subalgebras |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2505.09268 |