# Category:Join Semilattices

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This category contains results about **Join Semilattices**.

Definitions specific to this category can be found in Definitions/Join Semilattices.

Let $\struct {S, \preceq}$ be an ordered set.

Suppose that for all $a, b \in S$:

- $a \vee b \in S$

where $a \vee b$ is the join of $a$ and $b$ with respect to $\preceq$.

Then the ordered structure $\struct {S, \vee, \preceq}$ is called a **join semilattice**.

## Subcategories

This category has the following 2 subcategories, out of 2 total.

### J

- Join Operation (5 P)

## Pages in category "Join Semilattices"

The following 5 pages are in this category, out of 5 total.