# Talk:Correlation inequalities

From Encyclopedia of Mathematics

# Order ideals or down-sets

The introductory paragraph reads *let $A$and $B$ be order ideals or down-sets in $(S,{\subset})$*. However, the discussion at Ideal and Filter suggests that it is usual to impose the extra condition that an ideal contain the supremum of any two elements, which is not, I think, required here. Richard Pinch (talk) 22:54, 2 May 2020 (CEST)

**How to Cite This Entry:**

Correlation inequalities.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Correlation_inequalities&oldid=45668