模糊理想刻画的正则序半群  

Regular ordered semigroups depicted by fuzzy ideals

作　　者：高娜[1] 王贵君[1] 

机构地区：[1]天津师范大学数学科学学院,天津300387

出　　处：《黑龙江大学自然科学学报》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)

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.

关 键 词：模糊左理想 模糊右理想 模糊双理想 正则序半群 

分 类 号：O159[理学—数学]