Algebraic aspects of general free skew extensions of rings
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866916635327070208 |
|---|---|
| author | Ferreira, Vitor O. Fornaroli, Érica Z. Sánchez, Javier |
| author_facet | Ferreira, Vitor O. Fornaroli, Érica Z. Sánchez, Javier |
| contents | We consider skew free extensions of rings, also known as free multivariate skew polynomial rings, and explore some of the algebraic aspects of this construction. We give different characterizations of such rings and present conditions for such a ring to be a domain, to be embeddable in a series ring and to be prime. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_21058 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Algebraic aspects of general free skew extensions of rings Ferreira, Vitor O. Fornaroli, Érica Z. Sánchez, Javier Rings and Algebras 16S10, 16S36, 16W60 We consider skew free extensions of rings, also known as free multivariate skew polynomial rings, and explore some of the algebraic aspects of this construction. We give different characterizations of such rings and present conditions for such a ring to be a domain, to be embeddable in a series ring and to be prime. |
| title | Algebraic aspects of general free skew extensions of rings |
| topic | Rings and Algebras 16S10, 16S36, 16W60 |
| url | https://arxiv.org/abs/2502.21058 |