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型A半群上的fuzzy好同余

李春华   

  1. 华东交通大学基础科学学院, 江西 南昌 330013
  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2006-10-24 发布日期:2006-10-24
  • 通讯作者: 李春华

Fuzzy good congruences on type-A semigroups

LI Chun-hua   

  1. School of Natural Science, East China Jiaotong University, Nanchang 330013, Jiangxi, China
  • Received:1900-01-01 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
  • Contact: LI Chun-hua

摘要: 引入了富足半群上fuzzy好同余和fuzzy消去同余的概念, 给出了富足半群上fuzzy好同余的性质和特征。 在此基础上, 给出了型A半群上fuzzy好同余的性质。 得到了型A半群上的fuzzy好同余为fuzzy消去同余的充要条件。

关键词: 富足半群, 型A半群, fuzzy好同余

Abstract: The notions of a fuzzy good congruence relation and a fuzzy cancellative congruence relation on abundant semigroups were introduced, and some properties and characterizations of fuzzy good congruences on such semigroups were given. Some properties of fuzzy good congruences on type-A semigroups were given. Finally, sufficient and necessary conditions for a fuzzy good congruence on a type-A semigroup to be cancellative were proved.

Key words: fuzzy(good) congruence , type-A semigroup, abundant semigroup

中图分类号: 

  • O152.7
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