Dergiler / Mathematical Sciences and Applications E-Notes / 2020 / Cilt: 8 - Sayı: 2

On Minimal Generating Sets of Certain Subsemigroups of Isometries

Sayfa
71–78
Yayın Tarihi
2022-10-19
DOI
—
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In this paper we investigate the structure of minimal generating sets of the subsemigroup DPn,r = {α ∈ DPn : |im (α)| ≤ r} (similarly of the subsemigroup ODPn,r = {α ∈ ODPn : |im (α)| ≤ r}) for 2 ≤ r ≤ n − 1.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:Let DPn and ODPn be the semigroups of all isometries and of all order-preserving isometries on Xn, respectively.
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Temel Bulgular & Veri:Let DPn and ODPn be the semigroups of all isometries and of all order-preserving isometries on Xn, respectively.
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Sonuç & Katkı:In this paper we investigate the structure of minimal generating sets of the subsemigroup DPn,r = {α ∈ DPn : |im (α)| ≤ r} (similarly of the subsemigroup ODPn,r = {α ∈ ODPn : |im (α)| ≤ r}) for 2 ≤ r ≤ n − 1.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

Let DPn and ODPn be the semigroups of all isometries and of all order-preserving isometries on Xn, respectively. In this paper we investigate the structure of minimal generating sets of the subsemigroup DPn,r = {α ∈ DPn : |im (α)| ≤ r} (similarly of the subsemigroup ODPn,r = {α ∈ ODPn : |im (α)| ≤ r}) for 2 ≤ r ≤ n − 1.

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Bu Makaleye Atıf Yap

Bugay, L., Yağcı, M. (2022). On Minimal Generating Sets of Certain Subsemigroups of Isometries. Mathematical Sciences and Applications E-Notes, Cilt: 8 - Sayı: 2, 71–78. https://ajindex.com/articles/578831

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Kaynakça (5)

  1. Al-Kharousi, F., Kehinde, R., Umar, A.: On the semigroup of partial isometries of a finite chain. Comm. Algebra. 44, 639–647 (2016)
  2. Bugay, L., Ya ˘gcı M., Ayık, H.: The ranks of certain semigroups of partial isometries. Semigroup Forum. 97, 214–222 (2018)
  3. Ganyushkin, O., Mazorchuk, V.: Classical finite transformation semigroups. Springer-Verlag. London (2009)
  4. Howie, J. M.: Fundamentals of semigroup theory. Oxford University Press. New York (1995)
  5. Wilson, R.J., Watkins, J.J.: Graphs, An Introductory Approach, A First Course in Discrete Mathematics. Jon Wiley & Sons Inc. Toronto (1990