On the Semigroup of Partial Isometries of a Finite Chain

DOI10.1080/00927872.2014.984838zbMath1339.20058arXiv1101.0049OpenAlexW1649695343MaRDI QIDQ2802213

R. Kehinde, Fatma Ahmed Al-Kharousi, Abdullahi Umar

Publication date: 25 April 2016

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.0049

zbMATH Keywords

idempotentsrankstranslationsreflectionssymmetric inverse semigroupssemigroups of partial isometriesfix of transformationsheights of transformationssemigroups of partial one-to-one transformations

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Free semigroups, generators and relations, word problems (20M05) Inverse semigroups (20M18)

Related Items (14)

On the monoid of partial isometries of a finite star graph ⋮ Presentations for monoids of finite partial isometries ⋮ The rank of the inverse semigroup of partial automorphisms on a finite fence ⋮ Ranks of nilpotent subsemigroups of order-preserving and decreasing transformation semigroups ⋮ On three submonoids of the dihedral inverse monoid on a finite set ⋮ On the monoid of partial isometries of a cycle graph ⋮ On nilpotent subsemigroups of the order-preserving and decreasing transformation semigroups ⋮ The ranks of certain semigroups of partial isometries ⋮ Unnamed Item ⋮ Partial automorphisms and injective partial endomorphisms of a finite undirected path ⋮ Unnamed Item ⋮ Ranks of monoids of endomorphisms of a finite undirected path ⋮ On the semigroup of order-preserving partial isometries of a finite chain with restricted range ⋮ On nilpotent subsemigroups of the order-decreasing transformation semigroups

Cites Work

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• Classical finite transformation semigroups. An introduction.
• On the semigroups of partial one-to-one order-decreasing finite transformations
• On the nilpotent ranks of certain semigroups of transformations
• On the rank of completely 0-simple semigroups
• The Structure of 0-E-unitary inverse semigroups I: the monoid case
• The monoid of all injective orientation preserving partial transformations on a finite chain
• Rank properties in finite semigroups¹
• Representations of semigroups of partial isometries
• Semigroups of partial isometries

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