Abstract
Tam dönüşümler yarıgubu olarak isimlendilen T_n, fonksiyonların bileşke işlemine göre sonlu bir X_n={1,2,…,n} kümesi üzerinde tanımlanan bütün fonksiyonların yarıgrubudur. Bu dönüşümler içerisinden seçilen tüm palindrom imajlı dönüşümlerin kümesi bir yarıgrup teşkil eder ve P_n ile gösterilir. Bu çalışmada T_n nin bir alt yarıgrubu olan palindromik dönüşümler yarıgrubu P_n nin üst rankı için bir alt sınır hesaplanmıştır.
Keywords
References
- Ganyushkin, O. and Mazorchuk, V., 2009. Classical finite transformation semigroups, Springer-Verlag London Ltd., London, 318.
- Howie, J.M., 1995 Fundamentals of semigroup theory, Oxford University Press, New York, 364.
- Howie, J.M. and Riberio, M. I. M., 1999. Rank properties in finite semigroups. Communications in Algebra, 27, 5333-5347. https://doi.org/10.1080/00927879908826758
- Howie, J.M. and Riberio, M. I. M., 2000. Rank properties in finite semigroups II: the small rank and the large rank. Southeast Asian Bulletin of Mathematics, 24, 231-237. https://doi.org/10.1007/s10012-000-0231-2
- Kelekci, O., 2011. Upper rank of full transformation semigroups on a finite set. International Journal of Algebra, 5 (31), 1527-1532. https://doi.org/10.12988/ija
- Kelekci, O., 2020. Tranformations with palindromic images. Comptes rendus de l’Acad´emie bulgare des Sciences, 73 (6), 751-757. https://doi.org/10.7546/CRABS.2020.06.01
Abstract
The full transformations semigroup T_n, is the semigroup of all functions defined on a finite set X_n={1,2,…,n} according to the composition operation of the functions. The set of all palindrome image transformations selected among these transformations forms a semigroup and is denoted by P_n. In this study, a lower bound was calculated for the upper rank of the palindromic transformations semigroup P_n, which is a sub semigroup of T_n.
References
- Ganyushkin, O. and Mazorchuk, V., 2009. Classical finite transformation semigroups, Springer-Verlag London Ltd., London, 318.
- Howie, J.M., 1995 Fundamentals of semigroup theory, Oxford University Press, New York, 364.
- Howie, J.M. and Riberio, M. I. M., 1999. Rank properties in finite semigroups. Communications in Algebra, 27, 5333-5347. https://doi.org/10.1080/00927879908826758
- Howie, J.M. and Riberio, M. I. M., 2000. Rank properties in finite semigroups II: the small rank and the large rank. Southeast Asian Bulletin of Mathematics, 24, 231-237. https://doi.org/10.1007/s10012-000-0231-2
- Kelekci, O., 2011. Upper rank of full transformation semigroups on a finite set. International Journal of Algebra, 5 (31), 1527-1532. https://doi.org/10.12988/ija
- Kelekci, O., 2020. Tranformations with palindromic images. Comptes rendus de l’Acad´emie bulgare des Sciences, 73 (6), 751-757. https://doi.org/10.7546/CRABS.2020.06.01
Details
| Primary Language | Turkish |
|---|---|
| Subjects | Algebra and Number Theory |
| Journal Section | Articles |
| Authors | |
| Early Pub Date | April 14, 2024 |
| Publication Date | April 29, 2024 |
| Submission Date | September 5, 2023 |
| Published in Issue | Year 2024 Volume: 24 Issue: 2 |
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