On the semigroups of fence-decreasing and fence-preserving transformations on a finite fence

Gonca Ayık, Hayrullah Ayık, Ilinka Dimitrova +1

For a natural number $n$, a fence $[n]=\{1\prec 2\succ 3\prec 4\succ 5\prec \cdots n\}$ is a partial ordered set. A partial transformation $\alpha$ is called fence-decreasing if $xα\pre…