---
tag: X3X6HD1QA4
kind: problem
name: Problem 1 (Schmidt 1968)
sources:
  - wikipedia: en:9755564@r1364856992
    locator: Congruence lattice problem, section Schmidt's approach via distributive join-homomorphisms
    note: adopted
    mention: wikipedia://en/9755564#RS1F
    sections: [Problem]
inventory: [1J427NSEPH]
---

## Problem

**Problem 1 (Schmidt 1968).** Does any (∨,0)-semilattice satisfy Schmidt's Condition?

* * *

Partial positive answers are the following.