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Original Articles

The monoid of all injective orientation preserving partial transformations on a finite chain

Pages 3401-3426 | Received 01 Mar 1999, Published online: 27 Jun 2007

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (7)

De Biao Li, Wen Ting Zhang & Yan Feng Luo. (2022) On the monoid of all injective orientation-preserving and extensive partial transformations. Communications in Algebra 50:1, pages 275-286.
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F. Al-Kharousi, R. Kehinde & A. Umar. (2016) On the Semigroup of Partial Isometries of a Finite Chain. Communications in Algebra 44:2, pages 639-647.
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Ping Zhao & VítorH. Fernandes. (2015) The Ranks of Ideals in Various Transformation Monoids. Communications in Algebra 43:2, pages 674-692.
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VítorH. Fernandes & TeresaM. Quinteiro. (2014) On the Ranks of Certain Monoids of Transformations that Preserve a Uniform Partition. Communications in Algebra 42:2, pages 615-636.
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Ping Zhao. (2011) On the Ranks of Certain Semigroups of Orientation Preserving Transformations. Communications in Algebra 39:11, pages 4195-4205.
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VítorH. Fernandes, GracindaM.S. Gomes & ManuelM. Jesus. (2005) PRESENTATIONS FOR SOME MONOIDS OF PARTIAL TRANSFORMATIONS ON A FINITE CHAIN. Communications in Algebra 33:2, pages 587-604.
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Articles from other publishers (13)

Vítor H. Fernandes. (2024) On the cyclic inverse monoid on a finite set. Asian-European Journal of Mathematics 17:02.
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I. Dimitrova, V. H. Fernandes, J. Koppitz & T. M. Quinteiro. (2023) On Three Submonoids of the Dihedral Inverse Monoid on a Finite Set. Bulletin of the Malaysian Mathematical Sciences Society 47:1.
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Ilinka Dimitrova, Vítor H. Fernandes, Jörg Koppitz & Teresa M. Quinteiro. (2023) Presentations for three remarkable submonoids of the dihedral inverse monoid on a finite set. Semigroup Forum 107:2, pages 315-338.
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Ilinka Dimitrova & Jörg Koppitz. (2023) The rank of the inverse semigroup of all partial automorphisms on a finite crown. Monatshefte für Mathematik 202:1, pages 119-140.
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Ping Zhao & Huabi Hu. (2023) The monoid of all orientation-preserving and extensive partial transformations on a finite chain. Semigroup Forum 106:3, pages 720-746.
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De Biao Li & Vítor H. Fernandes. (2022) Endomorphisms of semigroups of oriented transformations. Semigroup Forum 106:1, pages 184-210.
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De Biao Li, Wen Ting Zhang & Yan Feng Luo. (2021) The monoid of all orientation-preserving and extensive full transformations on a finite chain. Journal of Algebra and Its Applications 21:05.
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Ilinka Dimitrova & Jörg Koppitz. (2017) On the semigroup of all partial fence-preserving injections on a finite set. Journal of Algebra and Its Applications 16:12, pages 1750223.
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Peter J. Cameron, Maximilien Gadouleau, James D. Mitchell & Yann Peresse. (2017) Chains of subsemigroups. Israel Journal of Mathematics 220:1, pages 479-508.
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Ping Zhao. (2011) A classification of maximal idempotent-generated subsemigroups of finite orientation-preserving singular partial transformation semigroups. Semigroup Forum 84:1, pages 69-80.
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Vítor H. Fernandes, Gracinda M.S. Gomes & Manuel M. Jesus. (2009) Congruences on monoids of transformations preserving the orientation on a finite chain. Journal of Algebra 321:3, pages 743-757.
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Vítor H. Fernandes. (2012) On Divisors of Pseudovarieties Generated by Some Classes of Full Transformation Semigroups. Algebra Colloquium 15:04, pages 581-588.
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E. Cordeiro, M. Delgado & V.H. Fernandes. (2009) Relative Abelian kernels of some classes of transformation monoids. Bulletin of the Australian Mathematical Society 73:3, pages 375-404.
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