Internal states and homomorphisms on implication basic algebras
S. M. Ghasemi Nejad, R. A. Borzooei · 2019
In this paper, the concepts of internal state and homomorphism on implication basic algebras are introduced and their properties and related results are investigated. In the sequel, the relations between internal state and endomorphism on an implication basic algebra are discussed. Finally, obtained that an endomorphism and internal state on an implication basic algebra ℓℬ coincide each other under certain conditions.