Interval sheffer stroke basic algebras

Abstract

In this paper we deal with Sheffer stroke basic algebras A = (A; |), and we define the operations |a, |?, |?? for any elements a, b ? A in such a way that ([a, 1]; |a), ([0, b]; |? ), ([a, b]; |??) become also Sheffer Stroke basic algebras, respectively. Subsequeutly, we show that these interval Sheffer Stroke basic algebras on a given Sheffer Stroke basic algebra A = (A; |) verify the patchwork condition.