International Journal of Mathematics and Statistics Studies (IJMSS)

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On Some Signed Semigroups of Order – Preserving Transformation

Abstract

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

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Email ID: editor.ijmss@ea-journals.org
Impact Factor: 7.80
Print ISSN: 2053-2229
Online ISSN: 2053-2210
DOI: https://doi.org/10.37745/ijmss.13

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