to have one's good name or reputation immortalized for generations to come

to leave a reputation for virtue or merit that will be remembered for generations; to leave a lasting reputation

leave a good name that will live forever (often incorrectly written as [[万古留芳|萬古留芳|wan4 gu3 liu2 fang1]])

to leave a lasting reputation for a hundred generations; same as a variant form with the same characters in a different order

to leave behind a good reputation in history; to be remembered for generations for one's virtues or achievements

Used as a funeral eulogy for a woman to express that her virtues are worthy of being recorded for future generations.

to leave a lasting reputation for posterity; (variant form) to have one's good name pass down through the ages