Answers are grounded in this paper and cite their sources.
In the present paper, we study a submonoid of the symmetric inverse semigroup \(I_n\). Specifically, we consider the monoid of all order-, fence-, and parity-preserving transformations of \(I_n\). While the rank and a set of generators of minimal size for this monoid are already known, we will provide a presentation for this monoid.
No takes yet. Share an insight, caveat, or question.
Sareeto et al. (2023) studied this question.
Synapse has enriched 10 related papers. Consider them for comparative context: