The status of being preeminent, dominant or ascendant(noun)
High importance; superiority(noun)
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Use "preeminence" in a sentence
"Organizations that sustain preeminence do so because they understand that being entrenched in their past successes is the surest path to future failure."
"The competition between these two nations for low-carbon preeminence is critical for the climate."
"(Note that the adjective in Emma that vies with "every" for preeminence is "interesting.")"