| 双诱导映射■集合范畴的L_b-余等值子和L_b-正则满态射(英文) |
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| 引用本文： | 张红,汤建钢,李国华.双诱导映射■集合范畴的L_b-余等值子和L_b-正则满态射(英文)[J].数学季刊,2012(2):169-176. |
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| 作者姓名： | 张红 汤建钢 李国华 |
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| 作者单位： | College of Mathematics,Sichuan University;Department of Mathematics,Yili Normal University |
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| 基金项目： | Supported by the National Natural Science Foundation of China(10871137) |
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| 摘 要： | In this paper,it gives the definition of the category of ■-sets and bi-induced maps whose true value set is a Locale,a complete Heyting algebra.In this category it defines the L_b-monomorphisms and the L_b-epimorphisms.Especially,it gives the definition,the judgmental theorem of L_b-coequalizers.Furthermore,it defines L_b-regular epimorphisms and proves the judgmental theorem.At the end it concludes a result:the category of ■-sets and bi-induced maps is finitely cocomplete.
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| 关 键 词： | bi-induced map Lb-monomorphism Lb-epimorphism Lb-coequalizer Lbregular epimorphism |
L_b-coequalizers and L_b-regular Epimorphisms in the Category of ■-sets and Bi-induced Maps |
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| ZHANG Hong,TANG Jian-gang,LI Guo-hua.L_b-coequalizers and L_b-regular Epimorphisms in the Category of ■-sets and Bi-induced Maps[J].Chinese Quarterly Journal of Mathematics,2012(2):169-176. |
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| Authors: | ZHANG Hong TANG Jian-gang LI Guo-hua |
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| Institution: | 1,2(1.College of Mathematics,Sichuan University,Chengdu 610064,China;2.Department of Mathematics,Yili Normal University,Yining 835000,China) |
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| Abstract: | In this paper,it gives the definition of the category of ■-sets and bi-induced maps whose true value set is a Locale,a complete Heyting algebra.In this category it defines the L_b-monomorphisms and the L_b-epimorphisms.Especially,it gives the definition,the judgmental theorem of L_b-coequalizers.Furthermore,it defines L_b-regular epimorphisms and proves the judgmental theorem.At the end it concludes a result:the category of ■-sets and bi-induced maps is finitely cocomplete. |
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| Keywords: | bi-induced map Lb-monomorphism Lb-epimorphism Lb-coequalizer Lbregular epimorphism |
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