摘要
在序半群上借助模糊左理想、模糊右理想和模糊双理想研究了序半群的正则性,获得了构成正则序半群的充要条件及若干有益结果,克服了过去仅以经典理想来刻画正则序半群的特性,从而丰富了序半群的理论。
Regularity of ordered semigroups is research by using fuzzy left ideals, fuzzy rignt ideals and fuzzy bi - i- deals. Necessary and sufficient conditions under which ordered semigroups are regular and several good results are investigated. This surmounts the limits for discussing regularity only by classical ideals and then rich the theory of ordered semigroups.
出处
《黑龙江大学自然科学学报》
CAS
北大核心
2009年第6期728-731,共4页
Journal of Natural Science of Heilongjiang University
基金
国家自然科学基金资助项目(60974144)
关键词
模糊左理想
模糊右理想
模糊双理想
正则序半群
fuzzy left ideal
fuzzy right ideal
fuzzy hi-ideal
regular ordered semigroup
