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lattice homomorphism

Defines: 
lattice isomorphism, lattice endomorphism, lattice automorphism, $\lbrace 0,1\rbrace$-lattice homomorphism
Type of Math Object: 
Definition
Major Section: 
Reference
Groups audience: 

Mathematics Subject Classification

06B05 no label found06B99 no label found

Comments

What about "complete lattice homomorphism" that is homomorphism which preserves infinite meets and joins?
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Victor Porton - http://www.mathematics21.org
* Algebraic General Topology and Math Synthesis
* 21 Century Math Method (post axiomatic math logic)
* Category Theory - new concepts

What about it? Yes a complete lattice homomorphism is a lattice homomorphism preserving arbitary meets and joins. This is the right kind of morphisms to consider if you are dealing with the category of complete lattices.

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