Combinatorial results for certain semigroups of order-decreasing partial isometries of a finite chain

2017/02/15 by F. Al-Kharousi, Al-Kharousi, F., Rotimi Kehinde +3
Computer Science · Mathematics · #20M #Advanced Algebra and Logic #Advanced Combinatorial Mathematics #FOS: Mathematics #Group Theory (math.GR) #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.1702.04485

openalex publication_date 2017/02/15 · openalex created_date 2017/03/03 · openalex updated_date 2026/07/28

Abstract

Let \cal I_n be the symmetric inverse semigroup on X_n = \1, 2, … , n\ and let \cal DDP_n and \cal ODDP_n be its subsemigroups of order-decreasing partial isometries and of order-preserving and order-decreasing partial isometries of X_n, respectively. In this paper we investigate the cardinalities of some equivalences on \cal DDP_n and \cal ODDP_n which lead naturally to obtaining the order of the semigroups

Citations

• Nilpotents in semigroups of partial one-to-one order-preserving mappings

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