"admonition on" is correct and usable in written English.
You can use the phrase to indicate that someone is offering a warning about a particular situation or issue. For example, "The teacher's admonition on the dangers of procrastination had a lasting impact on the students."
Al Gore's 2006 feature-length admonition on the effects of global warming grossed nearly $50m, making it one of the most successful documentaries after "Fahrenheit 9/11" and "March of the Penguins".
The Beasties' final admonition on the album is, "Who got the power to make the difference/We got the we got we got the we got the....".
The Olympics-hosting nation of "Mind the Gap" — the famous admonition on the London tube to watch the space between the train and the platform — has become the country of "Mind the very air you breathe".
"Surface to Air" (which has been directed by the Tony-winning actor James Naughton) is a play about Vietnam that is for all intents and purposes a play about Iraq, a tremulous admonition on the perils of refusing to keep visions of war close.
The governor also said that his admonition on member items was aimed at lawmakers who might be tempted to steer money to a small nonprofit run by themselves or a family member — something that has led to scandals in Albany in the past.
But its admonition on this point is general and couched as a task for the IMF and Financial Stability Forum, although neither has direct control over regulators.
You can sample their rage, and their admonitions, on what are known as law school scam blogs, with names like Shilling Me Softly, Subprime JD and Rose Colored Glasses.
The Chinese government has already mounted an etiquette campaign for its tourists — printed brochures and government admonitions on placards and in tourist tutorials to warn them against such transgressions as being too noisy, cutting lines or loud throat-clearing, activities it has also condemned at home.
They also earned a big boost last week when the Food and Drug Administration rolled back its admonitions on cholesterol, something the primal/paleo crowd has been saying for years.
"It's really important to report these [super-delegates] in a completely different way," she added, in the event her repeated admonitions on the topic had been unclear.
While the scriptures have a number of admonitions on this subject, I approach this commentary purely from the point that the inability to forgive is destructive behavior that will affect not only us, but everyone with whom we associate.
