GO:0035799

A developmental process, independent of morphogenetic (shape) change, that is required for the ureter to attain its fully functional state. The ureter is a muscular tube that transports urine from the kidney to the urinary bladder or from the Malpighian tubule to the hindgut. [GOC:bf, GOC:mtg_kidney_jan10, GOC:yaf, PMID:17881463]