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《Journal of Northeast Normal University (Natural Science Edition)》 2005-01
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The lattice structure of idempotent subsets of a semigroup

ZHANG Qing-de~1,GU Wen-xiang~2,ZHAO Peng~2 (1.Department of Computer,Liaocheng Teachers College,Liaocheng 252059,China; 2.Institute of Computer,Northeast Normal University,Changchun 130024,China)  
First is introduced the notions of interesction semilattice,intersection sublattice,union semilattice and union sublattice,and it discussed the lattice structure to several subsets of power set P(S) of a semigroup S.Based on this it proved that the all idempotent subsets of a semigroup forms a complete lattice with the ordinary subset inclusion  and give a method to structure the sup and inf in the lattice.
【Fund】: 国家自然科学基金资助项目(60473042;69973012).
【CateGory Index】: O153.1
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【Citations】
Chinese Journal Full-text Database 3 Hits
1 QIAO Bing wu 1, GU Wen xiang 2, ZHANG Qing de 1 (1 Department of Computer Science, Liaocheng Teahcer's College, Liaocheng 252059,China; 2.Department of Computer Science, Northeast Normal University, Changchun 130024, China);Fuzzy congruence relations on lattice-ordered ring[J];Journal of Northeast Normal University (Natural Science Edition);2001-02
2 GU Wen-xiang (Department of Computer Science,Northeast Normal University,Changchun 130024,China);Triangular norm over lattice and its structural method[J];Journal of Northeast Normal University (Natural Science Edition);2002-03
3 YAO Bingxue1,GU Wenxiang2(1Department of Mathematics and System Science,Liaocheng University,Liaocheng 252059,China;2Department of Computer Science,Northeast Normal University,Changchun 130024,China);Generated fuzzy ideals of a ring[J];Journal of Northeast Normal University (Natural Science Edition);2002-04
【Co-citations】
Chinese Journal Full-text Database 6 Hits
1 YAO Bingxue1,GU Wenxiang2(1Department of Mathematics and System Science,Liaocheng University,Liaocheng 252059,China;2Department of Computer Science,Northeast Normal University,Changchun 130024,China);Generated fuzzy ideals of a ring[J];Journal of Northeast Normal University (Natural Science Edition);2002-04
2 ZHOU Jun~1,ZHANG Chao-yan~2,GU Wen-xiang~3 (1.Department of Computer Science,Liaoning Institute of Technology,Jinzhou 121001,China; 2.Department of Mathematics,Changchun Teachers College,Changchun 130032,China; 3.Department of Computer Science,Northeast Normal University,Changchun 130024,China);A method about rough sets being fuzzed by using equivalence relation[J];Journal of Northeast Normal University (Natural Science Edition);2004-01
3 LI Xiao-ping~1,ZHAO Jian-hong~2 (1.Institute of Mathematics Science,Tianjin Normal University,Tianjin 300074,China; 2.Department of Mathematics,Tonghua Teachers College,Tonghua 134002,China);Characteristic of the homomorphism image of the intuitionistic fuzzy normal subgroups[J];Journal of Northeast Normal University (Natural Science Edition);2004-01
4 Wu De-wen1,SUN Shao-quan2(1.Department of Mathematics, Jilin Province College of Education,Changchun 130022,China;2.Department of Mathematics and Physics,Qingdao University of Science and Technology,Qingdao 266061,China);TL-quotient ring with operators and its direct product structure[J];Journal of Northeast Normal University (Natural Science Edition);2005-02
5 LI Ying~1,GU Wen-xiang~2(1.Department of Mathematics and System Science,Liaocheng University,Liaocheng 252059,China;2.College of Computer Science,Northeast Normal University,Changchun 130017,China);ζ-fuzzy subalgebras under (T′,T)[J];Journal of Northeast Normal University (Natural Science Edition);2005-03
6 WEI Ping,ZHANG Xiao-hong(Department of Mathematics,Ningbo University,Ningbo 315211,China);General R_0t-norm on Strong De Morgan Algebras[J];Fuzzy Systems and Mathematics;2007-05
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Chinese Journal Full-text Database 10 Hits
1 ZHANG Qing de 1,GU Wen xiang 2, QIAO Bing wu 1 (1.Department of Computer Science, Liaocheng Teacher's College, Liaocheng 252059, China; 2.Department of Computer Science, Northeast Normal University, Changchun 130024, China);Fuzzy rings redefined[J];JOURNAL OF NORTHEAST NORMAL UNIVERSITY (NATURAL SCIENCE EDITION);2000-01
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