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| Main Author: | |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2112.10343 |
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Table of Contents:
- In this article, we give a description of the split exact sequences of left skew braces. We define a free action of the second cohomology group of a left skew brace $H$ by $Ann(I)$ on $Ext_α(H, I)$ and show that this action becomes transitive if $I$ is a trivial skew brace. We also generalize the Well's type exact sequence for extensions by the trivial skew brace.