The companies are competing for dominance in the market. = The companies are competing for market dominance.各公司正在竞争市场主导地位。

military/political dominance [=predominance]军事/政治优势

male dominance [=the state of men or male animals having more power than women or female animals]男权统治

the French language's dominance in the region = the regional dominance of the French language这个地区法语的主导地位

The company has established a dominance in the market.这家公司已经在市场上建立了主导地位。

the team's dominance over its rivals这支队伍对其对手的优势

a neighborhood with a dominance [=predominance] of older homes老房子为主的住宅区