An important tool in the hyperstructure theory is the fundamental relation. The factorization of a multialgebra modulo its fundamental relation provides a functor into the category of universal algebras. The question that lead us to the results we will present is whether this functor commutes with the products. 2000 Mathematics Subject Classification: 08A05, 20N20, 08A99.

The secular evolution process which slowly transforms the morphology of a given galaxy over its lifetime through mostly internal dynamical mechanisms could naturally account for most of the observed properties of physical galaxies (Zhang 2003a). As an emerging paradigm for galaxy evolution, its dynamical foundations had been established in the past few years (Zhang 1996, 1998, 1999). In this pa...

The aim of this research work is to define a new class hyperstructure as generalization semigroups, semihypergroups and Γ-semihypergroups that we call (Δ,G)-sets. Also, fundamental relation on (Δ,G)-sets prove some results in respect. Then, introduce the notions quotient by using congruence relations. Finally, concept complete parts Noetherian(Artinian)