to have, control, or make use of fully, excluding others to obtain, maintain, or exploit a monopoly of (a market, commodity, etc) 
WordReference Random House Learner's Dictionary of American English © 2025
mo•nop•o•lize /məˈnɑpəˌlaɪz/USA pronunciation  
v. [~ + object], -lized, -liz•ing. to take up or take over completely:to monopolize all of someone's time. 
WordReference Random House Unabridged Dictionary of American English © 2025- to have sole power over:A few large companies have monopolized the oil industry.
 
mo•nop•o•lize 
(mə nop′ə līz′),USA pronunciation v.t., -lized, -liz•ing. 
 mo•nop′o•li•za′tion, n. 
mo•nop′o•liz′er, n.
- to acquire, have, or exercise a monopoly of.
 - to obtain exclusive possession of;
keep entirely to oneself:Children monopolize one's time. 
- monopol(y) + -ize 1605–15
 
mo•nop′o•liz′er, n.
Collins Concise English Dictionary © HarperCollins Publishers::
'monopolize' also found in these entries (note: many are not synonyms or translations):