A new representation of finite Hoops using a new type of product of structures
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909895502069760 |
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| author | Botur, Michal |
| author_facet | Botur, Michal |
| contents | In this paper we show that a new type of products hoops can be defined which, in the case of finite hoops, can describe an arbitrary hoop $\mathbf A$ as the product of its arbitrary filter $F$ and the corresponding homomorphic image $\mathbf A/F$. Moreover, this product satisfies a certain kind of associativity, and as a consequence we show that every finite hoop is in this sense a product of finite MV-chains. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_06730 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A new representation of finite Hoops using a new type of product of structures Botur, Michal Logic Representation Theory 06D35, 03B50 F.4.1 In this paper we show that a new type of products hoops can be defined which, in the case of finite hoops, can describe an arbitrary hoop $\mathbf A$ as the product of its arbitrary filter $F$ and the corresponding homomorphic image $\mathbf A/F$. Moreover, this product satisfies a certain kind of associativity, and as a consequence we show that every finite hoop is in this sense a product of finite MV-chains. |
| title | A new representation of finite Hoops using a new type of product of structures |
| topic | Logic Representation Theory 06D35, 03B50 F.4.1 |
| url | https://arxiv.org/abs/2511.06730 |