*-Relations on ternary semigroups

被引：4
|
作者：
Ashrafi, Nahid [1 ]
Yazdanmehr, Zahra [2 ]
机构：
[1] Semnan Univ, Fac Math Stat & Comp Sci, Semnan, Iran
[2] Farhangian Univ, Dept Math, Semnan, Iran
来源：
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2018年 / 15卷 / 06期
关键词：
Ternary semigroup; Green's relations; *-relations;
D O I：
10.1142/S0219887818500949
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we define certain equivalence relations called *-relations on ternary semi-groups and we mention some properties of these relations. We study these relations in respect to Green's relations in ternary semigroups and by bringing some examples, we show that while some propositions are correct for Green's relations, they are not necessarily true for these relations. Then we investigate *-relations in certain ternary semigroups.
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页数：14
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