6 citations · 14 across the 17 of their papers we have counts for
Showing math.GRShow all
2 papers · 1 filter
math.GR2020
A new formulation of the semigroup of orientation-preserving and orientation-reversing mappings
Peter M. Higgins, Alexei Vernitski
We characterize the respective semigroups of mappings that preserve, or that preserve or reverse orientation of a finite cycle, in terms of their actions on oriented triples and or…
math.GR2016
Ranks of ideals in inverse semigroups of difunctional binary relations
James East, Alexei Vernitski
The set D_n of all difunctional relations on an n element set is an inverse semigroup under a variation of the usual composition operation. We solve an open problem of Kudryavtseva…