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## Decomposition of Set Maximal Ideal

Wang Kun;Lu Tao;School of Mathematical Science, Huaibei Normal University;
This study introduced the concept of set maximal ideal on a partially ordered set, and proved its existence theorem and equivalent form under different conditions. The decomposition theorem of the set maximal ideal was derived, the application of De Morgan law in set maximal ideal was obtained.
【Fund】： 国家自然科学基金资助项目(11571175)
【CateGory Index】： O153.1
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 【Citations】
 Chinese Journal Full-text Database 5 Hits
 1 LI Hai-long;JIANG Guang-hao;School of Mathematical Sciences,Huaibei Normal University;;Weak Maximal Ideals Relative to Weak Filters on Posets[J];淮北师范大学学报(自然科学版);2014-02 2 LIU De-xian,LU Tao,CHEN Ying(College of Mathematical Science,Huaibei Normal University,Huaibei 235000,China);Relative Maximal Ideals in Conditional Join-semilattices[J];吉林师范大学学报(自然科学版);2012-03 3 CAI Jin,JIANG Guang-hao,HAN Gui-wen(School of Mathematical Sciences,Huaibei Normal University,235000,Huaibei,An hui,China);Locally Weak Maximal Ideals on Posets[J];淮北师范大学学报(自然科学版);2011-04 4 JIANG Guang-hao1,XU Luo-shan2(1.Department of Mathematics,Nanjing University,Nanjing 210093,China;2.Department of Mathematics,Yangzhou University,Yangzhou 225002,China);Maximal Ideals Relative to Filters on Posets[J];模糊系统与数学;2007-04 5 JIANG Guang-hao~1,WANG Ge-ping~2(1.Department of Mathematics,Nanjing University,Nanjing,Jiangsu,210093,China;2.Department of Mathematics,Xuzhou Normal University,Xuzhou,Jiangsu,22 1116,China);Locally Maximal Ideals on Posets[J];徐州师范大学学报(自然科学版);2006-01
 【Co-citations】
 Chinese Journal Full-text Database 10 Hits
 1 LI Hailong;JIANG Guanghao;ZHAN Shiyuan;School of Mathematical Science,Huaibei Normal University;;Uniform semicontinuous lattices[J];天津师范大学学报(自然科学版);2015-02 2 ZHANG Peng-yao;JIANG Guang-hao;Department of Mathematics,HuaibeiNormal University;;Weak Continuous Join-irreducible Elements and Some Applications[J];模糊系统与数学;2015-02 3 XIAO Can;JIANG Guang-hao;YANG Hui;Department of Mathematics,Huaibei Normal University;;An Intrinsic Characterization of Fuzzy Distributive Lattice[J];模糊系统与数学;2014-06 4 LI Hai-long;JIANG Guang-hao;School of Mathematical Sciences,Huaibei Normal University;;Weak Maximal Ideals Relative to Weak Filters on Posets[J];淮北师范大学学报(自然科学版);2014-02 5 Xiao Can,JIANG Guan-ghao,Yang Hui(Department of Mathematics,Huaibei Normal University,Huaibei 235000,China);Maximal Fliters Relative to Ideals on Posets and Application[J];吉林师范大学学报(自然科学版);2013-01 6 JIANG Guang-hao,HAN Gui-wen,CAI Jin(Department of Mathematics,Huaibei Normal University,Huaibei 210093,China);Weak Complete Join-irreducible Elements and Some Applications[J];模糊系统与数学;2012-02 7 HAN Gui-wen,JIANG Guang-hao,GAI Jin(College of Mathematical Science,Huaibei Normal University,Huaib ei 235000,China);An Intrinsic Characterization of a Kind of Distributive Posets[J];吉林师范大学学报(自然科学版);2012-01 8 CAI Jin,JIANG Guang-hao,HAN Gui-wen(School of Mathematical Sciences,Huaibei Normal University,235000,Huaibei,An hui,China);Locally Weak Maximal Ideals on Posets[J];淮北师范大学学报(自然科学版);2011-04 9 JIANG Guang-hao,CAI Jin,HAN Gui-wen(Department of Mathematics,Huaibei Normal University,Huaibei 235000,China);Notes on Maximal Ideals Relative to a Filter on Posets[J];吉林师范大学学报(自然科学版);2011-03 10 PAWAR Y S,KHOPADE S S(Department of Mathematics,Shivaji University,Kolhapur 416004,India);Locally maximal ideal[J];徐州师范大学学报(自然科学版);2010-04
 【Secondary Citations】
 Chinese Journal Full-text Database 5 Hits
 1 CAI Jin,JIANG Guang-hao,HAN Gui-wen(School of Mathematical Sciences,Huaibei Normal University,235000,Huaibei,An hui,China);Locally Weak Maximal Ideals on Posets[J];淮北师范大学学报(自然科学版);2011-04 2 PAWAR Y S,KHOPADE S S(Department of Mathematics,Shivaji University,Kolhapur 416004,India);Locally maximal ideal[J];徐州师范大学学报(自然科学版);2010-04 3 PAN Mei-Lin,LI Qing-guo(College of Mathematics and Econometrics,Hunan University,Changsha 410082,China);Weak Ideals and Weak Filters of Posets[J];模糊系统与数学;2009-01 4 JIANG Guang-hao1,XU Luo-shan2(1.Department of Mathematics,Nanjing University,Nanjing 210093,China;2.Department of Mathematics,Yangzhou University,Yangzhou 225002,China);Maximal Ideals Relative to Filters on Posets[J];模糊系统与数学;2007-04 5 JIANG Guang-hao~1,WANG Ge-ping~2(1.Department of Mathematics,Nanjing University,Nanjing,Jiangsu,210093,China;2.Department of Mathematics,Xuzhou Normal University,Xuzhou,Jiangsu,22 1116,China);Locally Maximal Ideals on Posets[J];徐州师范大学学报(自然科学版);2006-01
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