On the passage from finite braces to pre-Lie rings
| Autor: | Agata Smoktunowicz |
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| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: | |
| Popis: | Let p be a prime number. We show that there is a one-to-one correspondence between the set of strongly nilpotent braces and the set of nilpotent pre-Lie rings of cardinality $p^{n}$, for sufficiently large p. Moreover, there is an injective mapping from the set of left nilpotent pre-Lie rings into the set of left nilpotent braces of cardinality $p^{n}$ for n+1 Comment: arXiv admin note: text overlap with arXiv:2011.07611 Some assumptions were removed from Lemma 15 answering Question 3, also Question 3 was removed.A gap in the proof of Theorem 2 was corrected |
| Databáze: | OpenAIRE |
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