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Semilattices with zero

Abbreviation: Slat0

Definition

A \emph{semilattice with zero} is a structure S=S,,0 of type 2,0 such that

S, is a semilattices

0 is a zero for : x0=0

Morphisms

Let S and T be semilattices with zero. A morphism from S to T is a function h:ST that is a homomorphism:

h(xy)=h(x)h(y), h(0)=0

Examples

Example 1:

Basic results

Properties

Finite members

f(1)=1f(2)=1f(3)=2f(4)=5f(5)=15f(6)=53

Subclasses

Superclasses

References


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