On Minimal Generating Sets of Certain Subsemigroups of Isometries
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. .
___
- [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).
- ISSN: 2147-6268
- Yayın Aralığı: Yılda 4 Sayı
- Başlangıç: 2013
- Yayıncı: -
Sayıdaki Diğer Makaleler
On the Pasting Lemma on a Fuzzy Soft Topological Space with Mixed Structure
On Slant Helices and Mannheim Curves in E3
Ziya AKÇA, Abdilkadir ALTINTAŞ
Parafree Center-by-Metabelian Lie Algebras
Ergodic Theorem in Grand Variable Exponent Lebesgue Spaces
Ruled Surfaces with Constant Slope Ruling According to Darboux Frame