Tag Archives: Self-Inverse

On Some Signed Semigroups of Order – Preserving Transformation (Published)

Let 3, .., n} and  be a transformation from  whereThe semigroup of  (the full transformation semigroup),  (the partial transformation semigroup) and  (the partial one – one transformation semigroup) serve the bedrock for these transformation semigroups, Let  denotes the sets of signed full order – preserving, signed partial order – preserving and signed partial  one – one order –  preserving transformation semigroup respectively. The paper aims at investigate the sets of these subsemigroups.

Keywords: Chain Decomposition, Idempotent, Nilpotent, Order Preserving, Self-Inverse, Transformation Semigroup