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.
Nilpotency in left semi-braces
Catino, F.;Stefanelli, P.
2022-01-01
Abstract
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.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
CaCeSt22.pdf
solo utenti autorizzati
Tipologia:
Versione editoriale
Licenza:
NON PUBBLICO - Accesso privato/ristretto
Dimensione
554.81 kB
Formato
Adobe PDF
|
554.81 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
