Nilpotency in left semi-braces
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2020
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866916715870289920 |
|---|---|
| author | Catino, Francesco Cedó, Ferran Stefanelli, Paola |
| author_facet | Catino, Francesco Cedó, Ferran Stefanelli, Paola |
| contents | We introduce left and right series of left semi-braces. This allows to define left and right nilpotent left semi-braces. We study the structure of such semi-braces and generalize some results, known for skew left braces, to left semi-braces. We study the structure of left semi-braces $B$ such that the set of additive idempotents $E$ is an ideal of $B$. Finally we introduce the concept of a nilpotent left semi-brace and we show that the multiplicative group of such semi-braces is nilpotent. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2010_04939 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Nilpotency in left semi-braces Catino, Francesco Cedó, Ferran Stefanelli, Paola Quantum Algebra 16T25, 81R50, 16Y99 We introduce left and right series of left semi-braces. This allows to define left and right nilpotent left semi-braces. We study the structure of such semi-braces and generalize some results, known for skew left braces, to left semi-braces. We study the structure of left semi-braces $B$ such that the set of additive idempotents $E$ is an ideal of $B$. Finally we introduce the concept of a nilpotent left semi-brace and we show that the multiplicative group of such semi-braces is nilpotent. |
| title | Nilpotency in left semi-braces |
| topic | Quantum Algebra 16T25, 81R50, 16Y99 |
| url | https://arxiv.org/abs/2010.04939 |