Partial Mal'tsevness and partial protomodularity
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2015
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| _version_ | 1866914928519020544 |
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| author | Bourn, Dominique |
| author_facet | Bourn, Dominique |
| contents | We introduce the notion of Mal'tsev reflection which allows us to set up a partial notion of Mal'tsevness with respect to a class $Σ$ of split epimorphisms stable under pullback and containing the isomorphisms, and we investigate what is remaining of the properties of the global Mal'tsev context. We introduce also the notion of partial protomodularity in the non-pointed context. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1507_02886 |
| institution | arXiv |
| publishDate | 2015 |
| record_format | arxiv |
| spellingShingle | Partial Mal'tsevness and partial protomodularity Bourn, Dominique Category Theory 18C99, 18A10, 08B05, 57M27 We introduce the notion of Mal'tsev reflection which allows us to set up a partial notion of Mal'tsevness with respect to a class $Σ$ of split epimorphisms stable under pullback and containing the isomorphisms, and we investigate what is remaining of the properties of the global Mal'tsev context. We introduce also the notion of partial protomodularity in the non-pointed context. |
| title | Partial Mal'tsevness and partial protomodularity |
| topic | Category Theory 18C99, 18A10, 08B05, 57M27 |
| url | https://arxiv.org/abs/1507.02886 |