Hypergroups Obtained from a Latin Square
DOI:
https://doi.org/10.29020/nybg.ejpam.v18i2.6141Keywords:
Latin Square,, Quasigroup,, Quasihypergroup, , hypergroup,, $H_v$-groupAbstract
In this study, we explore the construction of a sequence of hypergroupoids derived from a quasigroup (Latin square). We demonstrate that cyclic groups yield sequences of commutative hypergroups. Additionally, under specific conditions, we establish the formation of $H_v$-groups and hypergroups. Various examples are provided to illustrate and support the theoretical concepts presented in this paper, offering insights into their structure and applicability.
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Copyright (c) 2025 Mohammad Ali Dehghanizadeh, Saeed Mirvakili
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