Combinatorial results for semigroups of order-preserving or order-reversing subpermutations

DOI10.1080/10236198.2015.1005080zbMath1315.20056OpenAlexW1979978544MaRDI QIDQ5247373

Abdullahi Umar, Abdallah Laradji

Publication date: 24 April 2015

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2015.1005080

zbMATH Keywords

generating functionsasymptotic behaviourrecurrence relationspartial transformationssemigroups of order-preserving transformationsnumbers of nilpotentssemigroups of order-reserving transformations

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Semigroups of transformations, relations, partitions, etc. (20M20) Asymptotic enumeration (05A16) Probabilistic methods in group theory (20P05)

Related Items (2)

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Uses Software

• OEIS

Cites Work

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• On the maximal regular subsemigroups of ideals of order-preserving or order-reversing transformations.
• Classical finite transformation semigroups. An introduction.
• Nilpotents in semigroups of partial one-to-one order-preserving mappings
• Combinatorics of nilpotents in symmetric inverse semigroups
• Abelian kernels of monoids of order-preserving maps and of some of its extensions.
• Combinatorial results for the symmetric inverse semigroup.
• On the Number of Nilpotents in the Partial Symmetric Semigroup
• CONGRUENCES ON MONOIDS OF ORDER-PRESERVING OR ORDER-REVERSING TRANSFORMATIONS ON A FINITE CHAIN
• The maximal subsemigroups of the ideals of some semigroups of partial injections

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