On Negatively Ordered Implicative Semigroups

Abstract

The concept of a negatively partially ordered implicative semigroup was introduced by the second author in his joint paper entitled Homomorphisms of implicative semigroups" written along with M.W. Chan and published in Semigroup Forum, vol.461993, 7 15. The aim of this paper is to continue study of these semigroups and obtain a connection between implicative homomorphisms and semigroup homomorphism of a negatively partially ordered implicative semigroup. In this connection, we correct the proof of a result in the above m e n tioned paper.