(adsbygoogle = window.adsbygoogle || []).push({}); How to "amalgamate" a family of structures?

Given a collection of structures all using the same language, is there a way to come up with a structure C such that each given structure is, in any sense, a "subobject" of C?

Right now I'm looking at coproducts to see if that will help. Please see the attached pdf.

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# How to amalgamate a family of structures?

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