Journals / Turkish Journal of Mathematics / 2014 / Cilt: 38 - Sayı: 3
On transformations of index 1
- Pages
- 419–425
- DOI
- —
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 am+r=am, 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 Tn, which we call transformations of index 1.
Özet
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 am+r=am, 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 Tn, which we call transformations of index 1.