# lattice homomorphism

## Primary tabs

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

### Complete lattice homomorphism?

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

### Re: Complete lattice homomorphism?

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.