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math.RA2020
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…
math.RA2020★ 2 cited
On Relative Ranks of the Semigroup of Orientation-preserving Transformations on Infinite Chains
Ilinka Dimitrova, Jörg Koppitz
In this paper, we determine the relative rank of the semigroup OP(X) of all orientation-preserving transformations on infinite chains modulo the semigroup O(X) of all order-preserv…