| 广义完全分配格的逆极限 |
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| 引用本文： | 陶炎芳,张晓媛,徐晓泉.广义完全分配格的逆极限[J].江西师范大学学报(自然科学版),2011,35(4):375-378. |
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| 作者姓名： | 陶炎芳 张晓媛 徐晓泉 |
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| 作者单位： | 江西师范大学数学与信息计算科学学院,江西南昌,330022 |
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| 基金项目： | 国家自然科学基金(10861007); 江西省自然科学基金(2007GZS179,2009GZS0012); 全国优秀博士学位论文作者专项基金(2007B14); 江西省研究生创新专项基金(YC09A054)资助项目 |
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| 摘 要： | 利用完备格同态为态射的广义完全分配格范畴的逆极限,讨论了函子保广义完全分配格范畴逆极限的条件,得出了广义完全分配格范畴上的局部连续的自函子保伴随且保满态射和单态射.
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| 关 键 词： | 广义完全分配格 逆极限 完备格 |
Projective Limits of Generalized Completely Distributive Lattices |
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| TAO Yan-fang,ZHANG Xiao-yuan,XU Xiao-quan.Projective Limits of Generalized Completely Distributive Lattices[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2011,35(4):375-378. |
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| Authors: | TAO Yan-fang ZHANG Xiao-yuan XU Xiao-quan |
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| Institution: | TAO Yan-fang,ZHANG Xiao-yuan,XU Xiao-quan(College of Mathematics and Informatiics,Jiangxi Normal University,Nanchang Jiangxi 330022,China) |
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| Abstract: | By the method of projective limits of generalized completely distributive lattices with complete lattice homomorphisms as morphisms,the conditions under which a functor preserves the projective limits of generalized completely distributive lattices are discussed.The results of functor preserves adjoint,injective morphisms and sur-jective morphismsare are given. |
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| Keywords: | generalized completely distributive lattice projective limit complete lattice |
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