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Analysis reveals new Hv-groups through helix-sum and helix-product, suggesting novel applications in mathematical structures.
The helix-sum and helix-product overcome restrictions which ordinary sum and product of the classical non-square matrices have. They, in fact, are weak hyperstructures and can be used, among the other applications, in the representation theory of Hv-groups, as well. However, we focus on low dimensions and small cardinality of the underline sets. In the study of helix-products, new interesting Hv-groups, appeared.
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Vougioukli et al. (2025) studied this question.
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