%0 Journal Article
%T Classification of Monogenic Ternary Semigroups
%J Mathematics Interdisciplinary Research
%I University of Kashan
%Z 2538-3639
%A Ashrafi, Nahid
%A Yazdanmehr, Zahra
%D 2018
%\ 12/01/2018
%V 3
%N 2
%P 139-146
%! Classification of Monogenic Ternary Semigroups
%K Ternary semigroup
%K monogenic ternary semigroup
%K Index
%K Period
%R 10.22052/mir.2019.173544.1120
%X The aim of this paper is to classify all monogenic ternary semigroups, up to isomorphism. We divide them to two groups: finite and infinite. We show that every infinite monogenic ternary semigroup is isomorphic to the ternary semigroup O, the odd positive integers with ordinary addition. Then we prove that all finite monogenic ternary semigroups with the same index and the same period are isomorphic. We also investigate structure of finite monogenic ternary semigroups and we prove that any finite monogenic ternary semigroup is isomorphic to a quotient ternary semigroup.
%U http://mir.kashanu.ac.ir/article_88436_9d35edfa9b15675083a1676c24fd7b68.pdf