Mendel, the father of genetics took the first steps in defining ＂contrasting characters, genotypes in F1 and F2... and setting different laws＂. The genotypes of F2 is dependent on the type of its parents genotype an...Mendel, the father of genetics took the first steps in defining ＂contrasting characters, genotypes in F1 and F2... and setting different laws＂. The genotypes of F2 is dependent on the type of its parents genotype and it follows certain roles. Purpose of this paper is to analyze the second generation genotypes of monohybrid and a dihybrid with a mathematical structure. We use the concept of Hv-semigroup structure in the F2-genotypes with cross oper- ation and prove that this is an Hv-semigroup. We determine the kinds of number of the Hv-subsemigroups of F2-genotypes.展开更多
In this paper, we consider an application of hyperstructure theory in biological inher- itance in which we deal with n-ary hyperstructures associated to the genotypes of the second generation F2 for n ： 2, 3, 4. Firs...In this paper, we consider an application of hyperstructure theory in biological inher- itance in which we deal with n-ary hyperstructures associated to the genotypes of the second generation F2 for n ： 2, 3, 4. First, we define a hyperoperation × （mating） on F2 and prove that it is a cyclic Hv-semigroup under the defined hyperoperation. Then we define a ternary hyperstructure f associated to the genotypes of F2 and prove that （F2, f） is a ternary Hv-semigroup. Finally, we define a 4-ary hyperstructure g associated to the genotypes of F2 and prove that （F2, g） is a 4-ary Hv-semigroup.展开更多
文摘Mendel, the father of genetics took the first steps in defining ＂contrasting characters, genotypes in F1 and F2... and setting different laws＂. The genotypes of F2 is dependent on the type of its parents genotype and it follows certain roles. Purpose of this paper is to analyze the second generation genotypes of monohybrid and a dihybrid with a mathematical structure. We use the concept of Hv-semigroup structure in the F2-genotypes with cross oper- ation and prove that this is an Hv-semigroup. We determine the kinds of number of the Hv-subsemigroups of F2-genotypes.
文摘In this paper, we consider an application of hyperstructure theory in biological inher- itance in which we deal with n-ary hyperstructures associated to the genotypes of the second generation F2 for n ： 2, 3, 4. First, we define a hyperoperation × （mating） on F2 and prove that it is a cyclic Hv-semigroup under the defined hyperoperation. Then we define a ternary hyperstructure f associated to the genotypes of F2 and prove that （F2, f） is a ternary Hv-semigroup. Finally, we define a 4-ary hyperstructure g associated to the genotypes of F2 and prove that （F2, g） is a 4-ary Hv-semigroup.
