In a way that involves working together as equals or with mutual respect among colleagues.
From collegial (adjective meaning of or relating to colleagues) + -ly (adverb-forming suffix). Traces back to Latin collegium, with -ly converting the adjective form into an adverb describing how an action is performed.
When a boss says they want to 'work collegially' with their team, linguists notice they're using an adverb that technically means 'as equals'—which is funny if the boss still has firing power!
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