Structural Properties of Full Contraction Transformation Semigroup on a Finite Chain
DOI:
https://doi.org/10.33003/fjs-2026-1020-6039Keywords:
Full Contraction Transformation, Finite Chain, Rank, Defect, IdempotentAbstract
Let finite chain, and let denote the semigroup of full contraction transformations on . In this study, we investigate structural properties of , with particular emphasis on characterization, rank and defect, and Idempotent elements of Also, principal theorems were proved. A contraction transformation is a mapping satisfying for all . We establish the foundational structure for studying these properties and identify the results that require independent characterization for .
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Copyright (c) 2026 Risqot Ibrahim Garba, Naimat Bakare Gatta, Suleiman Awwal Akinwunmi
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