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J-class of finitely generated abelian semigroups of affine mpas on C^n and Hypercyclicity
Yahya N'Dao
We give a characterization of hypercyclic using (locally hypercyclic) of semigroup G of affine maps of C^n. We prove the existence of a G-invariant open subset of C^n in which any…
Hypercyclicity and k-Transitivity (k>=2) for abelian semigroup of affine maps on C^n
Yahya N'Dao
In this paper, we prove that the minimal number of affine maps on C^n, required to form a hypercyclic abelian semigroup on C^n is n+1. We also prove that the action of any abelian…
Hypercyclic abelian semigroups of affine maps on C^n
Yahya N'Dao
We give a characterization of hypercyclic abelian semigroup G of affine maps on C^n. If G is finitely generated, this characterization is explicit. We prove in particular that no a…
Generalization of isomorphism theorems groups to Partial groups
Yahya N'Dao, Adlene Ayadi
In this paper, we define a new structure analogous to group, called partial group. This structure concerns the partial stability by the composition inner law. We generalize the thr…
Complex dimension of additive subgroups of R^{n}
Yahya N'Dao, Adlene Ayadi
In this paper, we define the complex dimension of any additive subgroup of R^{n}$which generalize the euclidien dimension given for the vector space. We give an explicit method to…