MAGNIFYING ELEMENTS IN A SEMIGROUP OF TRANSFORMATIONS PRESERVING EQUIVALENCE RELATION

被引：7

作者：

Kaewnoi, Thananya ^{[1
]}

Petapirak, Montakarn ^{[2
]}

Chinram, Ronnason ^{[2
,3
]}

机构：

[1] Prince Songkla Univ, Dept Math & Stat, Hat Yai 90110, Songkhla, Thailand

[2] Prince Songkla Univ, Dept Math & Stat, Algebra & Applicat Res Unit, Hat Yai 90110, Songkhla, Thailand

[3] CHE, Ctr Excellence Math, Si Ayuthaya Rd, Bangkok 10400, Thailand

来源：

KOREAN JOURNAL OF MATHEMATICS | 2019年 / 27卷 / 02期

关键词：

transformation semigroups; magnifying elements; equivalence relations;

D O I：

10.11568/kjm.2019.27.2.269

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let X be a nonempty set, rho be an equivalence on X, T(X) be the semigroup of all transformations from X into itself, and T-rho(X) - {f is an element of T(X) vertical bar (x, y) is an element of rho implies ((x)f, (y)f) is an element of rho}. In this paper, we investigate some necessary and sufficient conditions for elements in T-rho(X) to be left or right magnifying.

引用

页码：269 / 277

页数：9

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