On the annihilator condition for skew PBW extensions
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_ | 1866911152516104192 |
|---|---|
| author | Herrera, Karol Higuera, Sebastián Rubiano, Andrés |
| author_facet | Herrera, Karol Higuera, Sebastián Rubiano, Andrés |
| contents | We investigate the annihilator condition $(a.c.)$ for skew Poincaré-Birkhoff-Witt extensions. We prove that some results about the annihilator condition $(a.c.)$ for skew polynomial rings also hold for skew PBW extensions. We also demonstrate that the behavior of annihilators is determined by the defining relations of the extension. Our results extend those corresponding presented for skew polynomial rings |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_09220 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the annihilator condition for skew PBW extensions Herrera, Karol Higuera, Sebastián Rubiano, Andrés Rings and Algebras Quantum Algebra 16D25, 16S30, 16S32, 16S36, 16S38 We investigate the annihilator condition $(a.c.)$ for skew Poincaré-Birkhoff-Witt extensions. We prove that some results about the annihilator condition $(a.c.)$ for skew polynomial rings also hold for skew PBW extensions. We also demonstrate that the behavior of annihilators is determined by the defining relations of the extension. Our results extend those corresponding presented for skew polynomial rings |
| title | On the annihilator condition for skew PBW extensions |
| topic | Rings and Algebras Quantum Algebra 16D25, 16S30, 16S32, 16S36, 16S38 |
| url | https://arxiv.org/abs/2509.09220 |