Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2023
|
| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2303.17567 |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866917850039451648 |
|---|---|
| author | Raievska, Iryna Raievska, Maryna |
| author_facet | Raievska, Iryna Raievska, Maryna |
| contents | We consider groups of the nilpotency class $2$ of order $p^4$ which are the additive groups of local nearrings. It was shown that, for odd p, out of 6 of such groups 4 of them are the additive groups of local nearrings. Some examples of such nearrings are explicitly constructed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_17567 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Groups of the nilpotency class $2$ of order $p^4$ as additive groups of local nearrings Raievska, Iryna Raievska, Maryna Rings and Algebras Group Theory 16Y30, 20D15 We consider groups of the nilpotency class $2$ of order $p^4$ which are the additive groups of local nearrings. It was shown that, for odd p, out of 6 of such groups 4 of them are the additive groups of local nearrings. Some examples of such nearrings are explicitly constructed. |
| title | Groups of the nilpotency class $2$ of order $p^4$ as additive groups of local nearrings |
| topic | Rings and Algebras Group Theory 16Y30, 20D15 |
| url | https://arxiv.org/abs/2303.17567 |