Generating Sets of an Infinite Semigroup of Transformations Preserving a Zig-zag Order

Laddawan Lohapan, Jörg Koppitz, Somnuek Worawiset

A zig-zag order is like a directed path, only with alternating directions. A generating set of minimal size for the semigroup of all full transformations on a finite set preserving…