"rule after paragraph" appears on previous page

I set up a heading style that has a "rule after paragraph".
Of course, it is quite often the first line on a page.
On the previous page, I have a page break.
The rule appears after the page break character, at the bottom of the page,
but I don't want a rule there.
If I remove the rule, the heading style on the next page has no rule.
It seems that the line of the document that contains the page break *must
be* the same style as the first line at the top of the next page.

By the way, this happens in Word and Publisher, and has been a source of
frustration with these programs for years.

So how do I get rid of the "rule after paragraph" that appears with the page
break on the previous page?

I know there is a workaround, but it is ugly: Don't use a style with a rule
at the top of a page. Instead, create a new style that is just a rule with a
very small font, and have a blank line of this style under the first line of
a page. Ugly. The answer is that this is an undesirable feature in Microsoft
Word and Publisher. Unless of course, someone from the company can show us
how to stop this from happening!