On the semigroup of all partial fence-preserving injections on a finite set

DOI10.1142/S0219498817502231zbMath1429.20045arXiv2111.14432OpenAlexW3217538597MaRDI QIDQ4594951

Jörg Koppitz, Ilinka Dimitrova

Publication date: 27 November 2017

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.14432

zbMATH Keywords

Green's relationsgeneratorsrankinverse semigroupfinite transformation semigroupfence-preserving transformations

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Inverse semigroups (20M18)

Related Items (8)

The rank of the inverse semigroup of partial automorphisms on a finite fence ⋮ On certain semigroups of transformations with restricted range ⋮ The rank of the inverse semigroup of all partial automorphisms on a finite crown ⋮ On three submonoids of the dihedral inverse monoid on a finite set ⋮ Congruences on infinite semigroups of transformations preserving a zig-zag order ⋮ The rank of the semigroup of all order-preserving transformations on a finite fence ⋮ Regularity in the semigroup of transformations preserving a zig-zag order ⋮ Various regularities for semigroups of transformations on a finite set determined by a zig-zag order

Cites Work

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• The number of order-preserving maps of fences and crowns
• The number of strictly increasing mappings of fences
• On the structure of \(\mathcal{IO}_n\)
• The formula for the number of order-preserving selfmappings of a fence
• The number of order-preserving maps between fences and crowns
• Regular subsemigroups of the semigroups of transformations preserving a fence
• COREGULARITY OF ORDER-PRESERVING SELF-MAPPING SEMIGROUPS OF FENCES
• On the semigroups of partial one-to-one order-decreasing finite transformations
• The monoid of all injective orientation preserving partial transformations on a finite chain
• Representations of semigroups of partial isometries
• The maximal subsemigroups of the ideals of some semigroups of partial injections

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