詹建明.超拟群的模糊正则关系[J].数学研究及应用,2010,30(6):1083~1090
超拟群的模糊正则关系
Fuzzy Regular Relations on Hyperquasigroups
投稿时间:2008-10-10  修订日期:2009-09-15
DOI:10.3770/j.issn:1000-341X.2010.06.018
中文关键词:  超拟群  正则关系  模糊正则关系.
英文关键词:hyperquasigroup  regular relation  fuzzy regular relation.
基金项目:国家自然科学基金 (Grant No.60875034),湖北省教育厅项目(Grant Nos.D20092901; Q20092907; D20082903; B200529001),湖北省自然科学基金 (Grant No.2009CDB340).
作者单位
詹建明 湖北民族学院数学系, 湖北 恩施 445000 
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中文摘要:
      超拟群的正则关系作用类似于半群中的同余理论. 该文首先引入超拟群的正则关系,刻画其相应性质.进一步,探讨了超拟群的模糊正则关系的特征.
英文摘要:
      Regular relations play in hyperquasigroups theory a role analogous to congruences in semigroup theory. The aim of this paper is to introduce the concept of regular relations on hyperquasigroups and to investigate some related properties. Further, the notion of fuzzy regular relations on hyperquasigroups is introduced and some characterizations are discussed.
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