Makale detayı · 2025
On monoids of monotone partial transformations of a finite chain whose domains and ranges are intervals
Algebra and Discrete Mathematics
YÖKSİS
OpenAlex
Açık erişim · diamond
SJR Q3
JCR Q4
Atıf 0
Yüzdelik 25.3%
FWCI 0.0
- Yıl
- 2025
- ISSN
1726-3255- DOI
- 10.12958/adm2403
- Tür
- article
Veri kaynağı ayrımı
- YÖKSİS YÖKSİS makale kaydı
- OpenAlex OpenAlex zenginleştirmesi (özet, atıf, konular)
Özet
İngilizce (OpenAlex)
In this note, we consider the monoid \(\mathcal{PIM}_{n}\) of all partial monotone transformations on a chain with \(n\) elements whose domains and ranges are intervals and its submonoid \(\mathcal{IM}_{n}\) constituted by the full transformations. For both of these monoids, our aim is to determine their cardinalities and ranks and define them by means of presentations. We also calculate the number of nilpotent elements of \(\mathcal{PIM}_{n}\).
Konular
- semigroups and automata theory
- Mathematical Dynamics and Fractals
- Advanced Numerical Analysis Techniques
Birincil konu semigroups and automata theory