<![CDATA[This article discusses the application of mathematics in biological inheritance problems, which are closely linked to mathematical studies, particularly in algebraic hyperstructures, including hypergroupoids, hypergroups, and -semigroups. The research aims to determine types of algebraic hyperstructures arising from genetic crossing in inheritance issues, with the crossing results represented in a set where two distinct hyperoperations are applied. Findings indicate that under the first hyperoperation, the algebraic hyperstructures formed include a commutative hypergroup, a regular hypergroup, a cyclic hypergroup, and an -semigroup with one idempotent element, three identity elements, and one generator. Under the second hyperoperation the resulting algebraic hyperstructures include a commutative hypergroup, a regular hypergroup, a cyclic hypergroup, and an -semigroup without idempotent elements, with three identity elements and three generators. Future research could develop various alternative hyperoperations on biological inheritance problems, generating a greater variety of algebraic hyperstructures. The results of this study indicate that the algebraic hyperstructure of a set depends on its hyperoperation.]]>
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