Nonunital decompositions of the matrix algebra of order three
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2023
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866909741953843200 |
|---|---|
| author | Gubarev, Vsevolod |
| author_facet | Gubarev, Vsevolod |
| contents | All decompositions of $M_3(\mathbb{C})$ into a direct vector-space sum of two subalgebras such that none of the subalgebras contains the identity matrix are classified. Thus, the classification of all decompositions of $M_3(\mathbb{C})$ into a direct vector-space sum of two subalgebras as well as description of Rota-Baxter operators of nonzero weight on $M_3(\mathbb{C})$ is finished. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_16455 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Nonunital decompositions of the matrix algebra of order three Gubarev, Vsevolod Rings and Algebras 16S50 All decompositions of $M_3(\mathbb{C})$ into a direct vector-space sum of two subalgebras such that none of the subalgebras contains the identity matrix are classified. Thus, the classification of all decompositions of $M_3(\mathbb{C})$ into a direct vector-space sum of two subalgebras as well as description of Rota-Baxter operators of nonzero weight on $M_3(\mathbb{C})$ is finished. |
| title | Nonunital decompositions of the matrix algebra of order three |
| topic | Rings and Algebras 16S50 |
| url | https://arxiv.org/abs/2308.16455 |