N-ary hyperstructures associated to the genotypes of F-2-offspring

作者：Al Tahan M^*; Davvaz B

来源：International Journal of Biomathematics, 2017, 10(8): 1750118.

DOI：10.1142/S1793524517501182

• H-v-semigroup
• n-ary hyperstructure
• genotype
• offspring

In this paper, we consider an application of hyperstructure theory in biological inheritance in which we deal with n-ary hyperstructures associated to the genotypes of the second generation F-2 for n = 2, 3, 4. First, we define a hyperoperation X (mating) on F-2 and prove that it is a cyclic H-v-semigroup under the defined hyperoperation. Then we define a ternary hyperstructure/associated to the genotypes of F-2 and prove that (F-2, f) is a. ternary H-v-semigroup. Finally, we define a 4-ary mhyperstructure g associated to the genotypes of F-2 and prove that (F-2, g) is a 4-ary H-v-semigroup.

• 出版日期2017-11