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完全正则序半群上的模糊理想

李春华

华东交通大学学报2011,Vol.28Issue(4):30-32,3.
华东交通大学学报2011,Vol.28Issue(4):30-32,3.

完全正则序半群上的模糊理想

Fuzzy Ideals on Completely Regular Ordered Semigroups

李春华1

作者信息

  • 1. 华东交通大学基础科学学院,江西南昌330013
  • 折叠

摘要

Abstract

(S,·,≤) is called an ordered semigroup if (S, ·) is a semigroup, (S, ≤) is a partial order and the partial order ≤ is compatible with the multiplication. An ordered semigroup (S, ·, ≤) is called completely regular if for any a ∈ S there exists an element x e S such that a ≤ α2 χα2. Recently, Kehayopulu and Tsingel is introduced into the notion of a fuzzy set,a fuzzy ideal on ordered semigroups, and some good results are gained This paper studies fuzzy ideals of completely regular ordered semigroups, and obtains some of their properties on such semigroups.

关键词

模糊集/序半群/完全正则序半群/模糊理想

Key words

fuzzy set/ ordered semigroup/ completely regular ordered semigroup/ fuzzy ideal

分类

数学

引用本文复制引用

李春华..完全正则序半群上的模糊理想[J].华东交通大学学报,2011,28(4):30-32,3.

基金项目

国家自然科学基金项目(11061014):江西省教育厅科技研究项目(赣教技字[2010]453号) (11061014)

华东交通大学学报

OACSTPCD

1005-0523

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