The phrase "a core interest for" is correct and usable in written English.
It can be used to indicate something that is fundamentally important or central to a particular subject or group.
Example: "Environmental sustainability is a core interest for our organization as we strive to promote green practices."
Alternatives: "a primary concern for" or "a key focus for".
"We have a core interest in stability through political and economic change.
This, at least, is how I can make sense of otherwise inexplicable and self-destructive moves like China's statement that the South China Sea is a "core interest" (the term it also uses for Tibet and Taiwan), possibly committing itself to a negotiating position it can't win and can't back down from.
Intervention against Mr. Assad would lead to clashes with Russia, for whom Syria was a core interest.
Yet for any single issue voters with integrative medicine as a core interest, choosing on the Democratic side of the race is not a slam dunk.
Mr Obama clearly wishes that he could be rid of the entire mess, but oil, Israel, Islamic terrorism and Iran are core interests for the United States.
Yet Afghanistan will remain a core U.S. interest for counterterrorism purposes, she said, particularly given the Islamic State's expansion there and the potential that Afghanistan could become a battleground for broader Shiite-Sunni tensions around the Muslim world.
The core interest in this model for the purpose of examining the linkage between Hispanic occupation composition and earnings is the relation between wages and HISP, captured via the coefficients θ h and θ n.
In a statement, the White House said President Obama believed "that there are core interests at stake for the United States and that countries who violate international norms regarding chemical weapons need to be held accountable".
"He believes that there are core interests at stake for the United States and that countries who violate international norms regarding chemical weapons need to be held accountable".
It stressed that the president "believes that there are core interests at stake for the United States".
He believes that there are core interests at stake for the United States and that countries who violate international norms regarding chemical weapons need to be held accountable," the statement added.
