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, LEYLA and KELEKCİ, OSMAN
(2014)
"On transformations of index 1,"
Turkish Journal of Mathematics: Vol. 38:
No.
3, Article 5.
https://doi.org/10.3906/mat-1309-60
Available at:
https://journals.tubitak.gov.tr/math/vol38/iss3/5
