LEFT DOUBLE DISPLACEMENT SEMIGROUP: A FIRST RESULT

Abstract

In the present article a new type of algebraic structures named as left double displacement semigroup (LDD-semigroup). The structure is enhanced toward its left double displacement group (LDD-group) and discovered some useful results about these structures. The name of the notion is due to double displacement reactions in chemistry because they have same pattern of elements arrangement.

Keywords

• Groupoid
• Semigroup
• Left Almost Semigroup
• Abel Grassedman Groupoid
• Left Double Displacement Semigroup
• Left Double Displacement Group.