| 模糊理想刻画的正则序半群 |
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| 引用本文： | 高娜,王贵君.模糊理想刻画的正则序半群[J].黑龙江大学自然科学学报,2009,26(6). |
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| 作者姓名： | 高娜 王贵君 |
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| 作者单位： | 天津师范大学,数学科学学院,天津,300387 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 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埋想来刻画正则序半群的特性,从而丰富了序半群的理论.
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| 关 键 词： | 模糊左理想 模糊右理想 模糊双理想 正则序半群 |
Regular ordered semigroups depicted by fuzzy ideals |
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| GAO Na,WANG Gui-jun.Regular ordered semigroups depicted by fuzzy ideals[J].Journal of Natural Science of Heilongjiang University,2009,26(6). |
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| Authors: | GAO Na WANG Gui-jun |
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| Abstract: | Regularity of ordered semigroups is research by using fuzzy left ideals,fuzzy rignt ideals and fuzzy bi-ideals.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. |
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| Keywords: | fuzzy left ideal fuzzy fight ideal fuzzy bi-ideal regular ordered semigroup |
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