Article detail · 2024
Ranks of certain semigroups of transformations with idempotent complement whose restrictions belong to a given semigroup
Turkish Journal of Mathematics
YÖKSİS
OpenAlex
Open access · diamond
SJR Q2
JCR Q2
TR Index
Citations 0
Percentile 7.5%
FWCI 0.0
- Year
- 2024
- ISSN
1300-0098- Type
- article
Data source split
- YÖKSİS YÖKSİS article record
- OpenAlex OpenAlex enrichment (abstract, citations, topics)
Abstract
English (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.
Topics
- semigroups and automata theory
- Mathematical Dynamics and Fractals
- Advanced Algebra and Logic
Primary topic semigroups and automata theory