TY - JOUR
ID - 88436
TI - Classification of Monogenic Ternary Semigroups
JO - Mathematics Interdisciplinary Research
JA - MIR
LA - en
SN - 2538-3639
AU - Ashrafi, Nahid
AU - Yazdanmehr, Zahra
AD - Faculty of Mathematics, Statistics and Computer Science
Semnan University
Semnan, Iran
Y1 - 2018
PY - 2018
VL - 3
IS - 2
SP - 139
EP - 146
KW - Ternary semigroup
KW - monogenic ternary semigroup
KW - Index
KW - Period
DO - 10.22052/mir.2019.173544.1120
N2 - 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.
UR - http://mir.kashanu.ac.ir/article_88436.html
L1 - http://mir.kashanu.ac.ir/article_88436_9d35edfa9b15675083a1676c24fd7b68.pdf
ER -