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arXiv · 2205.00234

Characteristic properties of $\sigma$-A-nuclei of a quasigroup

Dimpy Chauhan·Indivar Gupta·Rashmi Verma
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Abstract

In this paper, we investigate the properties of $\sigma$-A-nuclei of a quasigroup including relations between them and relations between their respective component sets, where $\sigma \in S_3$. We also find connections between components of $\sigma$-A-nuclei of a quasigroup and components of $\sigma$-A-nuclei of the isostrophic images. Further, we investigate the properties of various inverse quasigroups using the derived connections. These properties will not only make the study of $\sigma$-A-nuclei of a quasigroup simple but also reduce the time required in the computation of $\sigma$-A-nuclei of a quasigroup for different values of $\sigma$.

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Dimpy Chauhan, Indivar Gupta, Rashmi Verma. 2022-04-30. Characteristic properties of $\sigma$-A-nuclei of a quasigroup. https://arxiv.org/abs/2205.00234

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