The Pseudovariety Generated by All Semigroups of Orientation-Preserving Transformations on a Finite Cycle

Abstract

For standard terms in semigroup theory see, for example, [5, 8, 12]. Let Xn denote the chain Xn = {1, 2, . . . , n} considered with the standard order. Let Tn denote the full transformation semigroup on Xn under composition. In this paper, the symbol a stands for the generator a = (12 · · ·n) of the cyclic group Zn. The range of α ∈ Tn will be denoted by X… (More)
DOI: 10.1142/S021819670200081X

Topics

3 Figures and Tables