On oriented alternating inverse monoids
Abstract
Abstract In this paper, we consider the inverse submonoids $$\mathcal {AOR}_n$$ AOR n of oriented transformations and $$\mathcal {AOP}_n$$ AOP n of orientation-preserving transformations of the alternating inverse monoid $$\mathcal{A}\mathcal{I}_n$$ A I n on a chain with n elements. We compute the cardinalities, describe the Green’s structures and the congruences, and calculate the ranks of $$\mathcal {AOR}_n$$ AOR n and $$\mathcal {AOP}_n.$$ AOP n .
Fields of Study & Subjects
semigroups and automata theory
Advanced Combinatorial Mathematics
Mathematics and Applications
Publication details
- Journal / source
- Periodica Mathematica Hungarica
- Volume
- 92
- Issue
- 2
- Pages
- 338–358
- Publication date
- 27 February 2026
- Language
- EN