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Homomorphisms of complete distributive lattices

 

作者: A. Pultr,   J. Sichler,   V. Trnková,  

 

期刊: Quaestiones Mathematicae  （Taylor Available online 2000）
卷期: Volume 23, issue 3  

页码: 259-268

 

ISSN:1607-3606

 

年代: 2000

 

DOI:10.2989/16073600009485975

 

出版商: Taylor & Francis Group

 

关键词: COMPLETE DISTRIBUTIVE LATTICE;COMPLETE LATTICE HOMOMORPHISM;FRAME;HEYTING ALGEBRA;CONTINUOUS MAP;UNIVERSAL CATEGORY

 

数据来源: Taylor

 

摘要:

The category of all complete distributive lattices and their complete homomorphisms is universal, and this is also true for the category of all complete distributive lattices whose morphisms preserve complete joins, finite meets and an additional nullary operation. A survey of analogous results on algebraic universality of categories based on finitary distributive (0,1)-lattices is included to motivate further questions about categories based on complete distributive lattices.

 

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