On the direct limit of a direct system of multialgebras Original Research Article

This paper deals with multialgebras. An important tool in the theory of multialgebras is the fundamental relation, which brings us into the class of the universal algebras. In this paper we will present the construction of the direct limit of a direct system of multialgebras, some basic properties of this construction, and we will see that the fundamental algebra of the direct limit of multialgebras is the direct limit of the fundamental algebras of the given multialgebras.