1 Introduction
The concept of Hilbert algebra was introduced in early 50-ties by L. Henkin
and T. Skolem for some investigations of implication in intuitionistic and other
classical logics. In 60-ties, these algebras were studied especially, by A. Horn
and A. Diego [3] from algebraic point of view. Recently, the Hilbert algebras
were treated by D. Buseneag [1, 2]. We introduce the concept of deductive
system in HS-algeraas. Also we characterized the HS-algebra and obtained
some properties of HS-algebras.