2022/04/30 by Dimpy Chauhan, Chauhan, Dimpy, Indivar Gupta +3
Engineering · Mathematics · #Advanced Mathematical Theories #FOS: Mathematics #Group Theory (math.GR) #Mathematics and Applications #graph theory and CDMA systems
paper · pdf · doi:10.48550/arxiv.2205.00234
openalex publication_date 2022/04/30 · openalex created_date 2022/05/05 · openalex updated_date 2026/07/28
In this paper, we investigate the properties of σ-A-nuclei of a quasigroup including relations between them and relations between their respective component sets, where σ∈ S3. We also find connections between components of σ-A-nuclei of a quasigroup and components of σ-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 σ-A-nuclei of a quasigroup simple but also reduce the time required in the computation of σ-A-nuclei of a quasigroup for different values of σ.