Direct Limit Derived from Twist Product on $\Gamma$-Semihypergroups

S. Ostadhadi-Dehkordi

The aim of this research work is to define a new class of hyperstructure that we call direct system. An important tool in the theory of homological algebra is the direct limit. We will present the construction of the direct limit of a direct system derived from $(\Delta, G)$-set on $\Gamma$-semihypergroups. Also, we prove the direct limit is unique up to isomorphism.