Makale detayı · 2024
Ranks of certain semigroups of transformations with idempotent complement whose restrictions belong to a given semigroup
Turkish Journal of Mathematics
YÖKSİS
OpenAlex
Açık erişim · diamond
SJR Q2
JCR Q2
TR Index
Atıf 0
Yüzdelik 7.5%
FWCI 0.0
- Yıl
- 2024
- ISSN
1300-0098- Tür
- article
Veri kaynağı ayrımı
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Özet
İngilizce (OpenAlex)
For n ≥ 2, let Pn , In , Tn , and Sn be the partial transformation semigroup, symmetric inverse semigroup, (full) transformation semigroup, and symmetric group on the set Xn = {1, . . . , n}, respectively. In this paper, we find the ranks of certain subsemigroups of Pn , In , and Tn consisting of transformations with idempotent complement whose restrictions to the set Xm belong to the (possible) semigroup Sm, Im, Tm, or Pm for 1 ≤ m ≤ n − 1.
Konular
- semigroups and automata theory
- Mathematical Dynamics and Fractals
- Advanced Algebra and Logic
Birincil konu semigroups and automata theory