Makale detayı · 2026
On isolated subsemigroups of order-decreasing transformation semigroups
Hacettepe Journal of Mathematics and Statistics
YÖKSİS
OpenAlex
Açık erişim · diamond
SJR Q2
JCR Q3
TR Index
Atıf 0
Yüzdelik 13.2%
FWCI 0.0
- Yıl
- 2026
- ISSN
2651-477X- Tür
- article
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Özet
İngilizce (OpenAlex)
For $n\in \mathbb{N}$, let $\mathcal{D}_{n}$ be the semigroup of all order-decrasing transformations on $X_{n}=\{1,\ldots ,n\}$, under its natural order. In this paper, we determine isolated, completely isolated, and (left/right) convex subsemigroups of $\mathcal{D}_{n}$. Furthermore, for $\{ 1\}\neq U\subset X_{n}$ which contains $1$, we find the rank of $\mathcal{D}_{n}[U] =\{ \alpha \in \mathcal{D}_{n} :U\subseteq X_{n} \}$ which is a convex subsemigroup of $\mathcal{D}_{n}$.
Konular
- semigroups and automata theory
- Advanced Algebra and Logic
- Fuzzy and Soft Set Theory
Birincil konu semigroups and automata theory