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AMS document classes for german documents
The layout files for the AMS document classes define some useful environments like Corollary etc. Unfortunately the labels of these environments are always in english. This is a limitation of LyX, see http://bugzilla.lyx.org/show_bug.cgi?id=1476. Until this bug is resolved one needs to create a new set of layout files for other languages which contains the translated strings. You can find here a translated set of layout files.
You can use these as a base for other languages: It should be sufficient to review and possibly change all Input statements and only translate stuff in the Preamble.
The files are in 1.3x format but work fine in later versions, too.