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Lb-coequalizers and Lb-regular Epimorphisms in the Category of L-sets and Bi-induced Maps
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作者 ZHANG Hong TANG Jian-gang LI Guo-hua 《Chinese Quarterly Journal of Mathematics》 CSCD 2012年第2期169-176,共8页
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-epimorphis... 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. 展开更多
关键词 bi-induced map Lb-monomorphism lb-epimorphism Lb-coequalizer Lbregular epimorphism
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