On nonmatrix varieties of associative rings
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2026
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866918373850349568 |
|---|---|
| author | de Mello, Thiago Castilho Yasumura, Felipe Yukihide |
| author_facet | de Mello, Thiago Castilho Yasumura, Felipe Yukihide |
| contents | We study nonmatrix varieties of $\mathbf{k}$-algebras, where $\mathbf{k}$ is a unital commutative ring. Our results extend to this generality known results for the case in which $\mathbf{k}$ is an infinite field. Also, we generalize these results to varieties of $\mathbf{k}$-algebras not containing the algebra of $n\times n$ matrices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_05635 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On nonmatrix varieties of associative rings de Mello, Thiago Castilho Yasumura, Felipe Yukihide Rings and Algebras We study nonmatrix varieties of $\mathbf{k}$-algebras, where $\mathbf{k}$ is a unital commutative ring. Our results extend to this generality known results for the case in which $\mathbf{k}$ is an infinite field. Also, we generalize these results to varieties of $\mathbf{k}$-algebras not containing the algebra of $n\times n$ matrices. |
| title | On nonmatrix varieties of associative rings |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2603.05635 |