序半群的完全素和素模糊理想

J4 ›› 2010, Vol. 45 ›› Issue (8): 93-98.

序半群的完全素和素模糊理想

唐剑1, 谢祥云2

1. 阜阳师范学院数学与计算科学学院, 安徽阜阳 236041; 2. 五邑大学数理系, 广东江门 529020

收稿日期:2009-05-12 出版日期:2010-08-16 发布日期:2010-09-16

Completely prime and prime fuzzy ideals in ordered semigroups

TANG Jian1, XIE Xiang-yun2

1. School of Mathematics and Computational Science, Fuyang Normal College, Fuyang 236041, Anhui, China;
2. Department of Mathematics and Physics, Wuyi University, Jiangmen 529020, Guangdong, China

Received:2009-05-12 Online:2010-08-16 Published:2010-09-16
About author:ANG Jian(1983-), male, maste, main research: algebraic theory of semigroups, fuzzy and rough algebras. Email: tangjian0901@126.com
Supported by:
Supported by the National Natural Science Foundation (103410020), GuangDong Provincial Natural Science Foundation of China (0501332), Anhui Provincial Excellent Youth Talent Foundation (2009SQRZ149) and Fuyang Normal College Youth Foundation (2008LQ11)

摘要/Abstract

摘要：

通过由序模糊点生成的模糊理想给出了半单序半群的刻画。同时也刻画了两类序半群:一类是所有模糊理想是素理想;另一类是所有模糊理想是完全素理想。

关键词: 序模糊点; 模糊理想;素模糊理想;完全素模糊理想;半单序半群

Abstract:

Semisimple ordered semigroups are characterized by fuzzy ideals generated by ordered fuzzy points. Furthermore, ordered semigroups of all fuzzy ideals of which are prime fuzzy ideals, and ordered semigroups all fuzzy ideals of which are completely prime fuzzy ideals.

Key words: ordered fuzzy point; fuzzy ideal; prime fuzzy ideal; completely prime fuzzy ideal; semisimple ordered semigroup

唐剑1, 谢祥云2. 序半群的完全素和素模糊理想[J]. J4, 2010, 45(8): 93-98.

TANG Jian1, XIE Xiang-yun2. Completely prime and prime fuzzy ideals in ordered semigroups[J]. J4, 2010, 45(8): 93-98.

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