If others copy your work then link to you they would typically have similar link structure to one another, but still not the exact same link structure. Typically those syndicating the page would be the ones found as duplicate because they would have more in common with one another.
The source document would not usually be eliminated as duplicate content, as that would rarely be the goal of a search engine. Sometimes though, it may even be a treat to have people find the syndicated column on the other sites. It has a strong effect if people see your content all over the web. That is how you become known as "the source of information" on a given topic.
When others publish your work you are enjoying free advertising. Odds are that they will not just put up a copy of your information, but will integrate it with the rest of their content. This will cause flow through traffic & free traffic is usually a good thing...









