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BibTex RIS Kaynak Göster
Yıl 2020, Cilt: 8 Sayı: 2, 71 - 78, 15.10.2020
https://doi.org/10.36753/mathenot.723297

Öz

Kaynakça

  • [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., Yağcı 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).

On Minimal Generating Sets of Certain Subsemigroups of Isometries

Yıl 2020, Cilt: 8 Sayı: 2, 71 - 78, 15.10.2020
https://doi.org/10.36753/mathenot.723297

Öz

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

Kaynakça

  • [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., Yağcı 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).
Toplam 5 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Articles
Yazarlar

Leyla Bugay 0000-0002-8316-2763

Melek Yağcı Bu kişi benim 0000-0002-0457-156X

Yayımlanma Tarihi 15 Ekim 2020
Gönderilme Tarihi 19 Nisan 2020
Kabul Tarihi 22 Haziran 2020
Yayımlandığı Sayı Yıl 2020 Cilt: 8 Sayı: 2

Kaynak Göster

APA Bugay, L., & Yağcı, M. (2020). On Minimal Generating Sets of Certain Subsemigroups of Isometries. Mathematical Sciences and Applications E-Notes, 8(2), 71-78. https://doi.org/10.36753/mathenot.723297
AMA Bugay L, Yağcı M. On Minimal Generating Sets of Certain Subsemigroups of Isometries. Math. Sci. Appl. E-Notes. Ekim 2020;8(2):71-78. doi:10.36753/mathenot.723297
Chicago Bugay, Leyla, ve Melek Yağcı. “On Minimal Generating Sets of Certain Subsemigroups of Isometries”. Mathematical Sciences and Applications E-Notes 8, sy. 2 (Ekim 2020): 71-78. https://doi.org/10.36753/mathenot.723297.
EndNote Bugay L, Yağcı M (01 Ekim 2020) On Minimal Generating Sets of Certain Subsemigroups of Isometries. Mathematical Sciences and Applications E-Notes 8 2 71–78.
IEEE L. Bugay ve M. Yağcı, “On Minimal Generating Sets of Certain Subsemigroups of Isometries”, Math. Sci. Appl. E-Notes, c. 8, sy. 2, ss. 71–78, 2020, doi: 10.36753/mathenot.723297.
ISNAD Bugay, Leyla - Yağcı, Melek. “On Minimal Generating Sets of Certain Subsemigroups of Isometries”. Mathematical Sciences and Applications E-Notes 8/2 (Ekim 2020), 71-78. https://doi.org/10.36753/mathenot.723297.
JAMA Bugay L, Yağcı M. On Minimal Generating Sets of Certain Subsemigroups of Isometries. Math. Sci. Appl. E-Notes. 2020;8:71–78.
MLA Bugay, Leyla ve Melek Yağcı. “On Minimal Generating Sets of Certain Subsemigroups of Isometries”. Mathematical Sciences and Applications E-Notes, c. 8, sy. 2, 2020, ss. 71-78, doi:10.36753/mathenot.723297.
Vancouver Bugay L, Yağcı M. On Minimal Generating Sets of Certain Subsemigroups of Isometries. Math. Sci. Appl. E-Notes. 2020;8(2):71-8.

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