Equivalent Conditions of Normal Autometrized L-algebra

In this paper, we discuss the properties of some elements in autometrized algebra. We also introduce normal Furthermore, obtain l-algebras among semialgebras satisfying several conditions and discussing its properties. prove that a semialgebra certain is lattice distributive. Finally, establish an equivalent condition between l-algebra representable algebra with conditions. conditions, there exists subset which convex subalgebra.