Turkish Journal of Mathematics
DOI
10.3906/mat-1309-60
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.
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
