Turkish Journal of Mathematics
Abstract
The index and the period of an element a of a finite semigroup are defined as the smallest values of m \geq 1 and r \geq 1 such that a^{m+r}=a^m, respectively. If m=1 then a is called an element of index 1. The aim of this paper is to find some properties of the elements of index 1 in T_n, which we call transformations of index 1.
DOI
10.3906/mat-1309-60
Keywords
Transformations, orbit, index, period
First Page
419
Last Page
425
Recommended Citation
BUGAY, L, & KELEKCİ, O (2014). On transformations of index 1. Turkish Journal of Mathematics 38 (3): 419-425. https://doi.org/10.3906/mat-1309-60
