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arXiv · 2511.06730

A new representation of finite Hoops using a new type of product of structures

Michal Botur
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Abstract

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.

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Michal Botur. 2025-11-10. A new representation of finite Hoops using a new type of product of structures. https://doi.org/10.1007/s11225-025-10181-1

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