A NEW METHOD FOR CONSTRUCTING PARTIAL ONE TO ONE TRANSFORMATION SEMIGROUP USING TWO LINE NOTATION

Abstract

In this paper, we provide a method of constructing finite one to one transformation semigroup from the full one to one transformation semigroup using some pattern called transitive. In this approach, some set theoretic arguments have been used in the construction process. Certain algebraic properties of the resulting non-empty set have also been studied. We Further discuss some combinatorial properties of such sets. 2010 Mathematics Subject Classification. 20M20.

Keywords

• inverse semigroup of partial transformation
• k-transitive
• one to one full transformations